If the parent function is fx) = x^3 which transformed function is shown in the graph?
A. g(x) = (x-3)2
B. g(x) = (x+3)^3
C. g(x) = x^3 + 3
D. g(X) = x^3-3
Answers
Answer:
g(x) = (x-3)³ is the transformed function.
Step-by-step explanation:
Horizontal shift:
If f(x) is the parent function.
Then horizontal shift can be expressed as:
, will shift left units.
[tex]y = f(x - c)[/tex], will shift [tex]f(x)[/tex] right c units.
Given the parent function
f(x) = x³
From the graph, it is clear that the transformed function is indicating that the parent function has been horizontally shifted right 3 units.
Therefore, according to the rule, [tex]y = f(x - c)[/tex]:
g(x) = (x-3)³ is the transformed function.
From the graph,
The Red graph indicates the parent function i.e. f(x) = x³ The Blue graph indicates the transformed function i.e. g(x) = (x-3)³It is clear that the blue graph is obtained when the parent function has been horizontally shifted right 3 units.
Therefore, g(x) = (x-3)³ is the transformed function.
Related Questions
Which number has 21 as a multiple? 2 6 7 11
Answers
Answer:
7
Step-by-step explanation:
7x3=21
Answer:
7
Step-by-step explanation:
21÷7=3
PLS HELP ASAP, I'll give BRAINLIEST
Find the length of the longest side of the triangle whose vertices are D(4,1), E(9,6) and F(5, -4).
Answers
Answer:
the answer is approximately 8.2 units.
How many Terminating Zeros are at the end of 631! when this number is multiplied out
Answers
Answer:
3 zeros
Step-by-step explanation:
Thus The factorial symbol is the exclamation mark !. like this
Using The factorial formula isIf n is a natural number greater than or equal to 1, then
n! = n x (n - 1) x (n - 2) x (n - 3) ... 3 x 2 x 1
When If n = 0, then n! = 1, by convention it. Thus, The factorial of 631 is calculated, through its definition, can we this way: 631! = 631 • 630 • 629 • 628 ... 3 • 2 • 1Learn more information:
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Jill bought a lamp for $40. She sold it at a garage sale for $12. What was the approximate decrease?
Answers
Answer:
she was left with 28$ I'm in high school i think I'm right
Step-by-step explanation:
The function a(h) below relates the area of a triangle with a given base 7 and the height of the triangle. It takes as input the height of the triangle and returns as output the of the triangle. an) - 7 Write the equation that represents inverse function, h(a), which takes triangles area as input and returns height of the triangle.
Answers
PLEASEEEEEEEEE HELP
Translate the phrase into an algebraic expression.
The product of b and 9
Answers
Answer:
b(9) also known as: b multiplied by 9
I am not 100% sure but I do agree with the first person's answer so feel free to give them brainliest. Hope I helped though! Have a wonderful day! :)
The algebraic expression for the given phrase is 9b.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given phrase is "The product of b and 9".
Now, the expression is b×9
= 9b
Therefore, the algebraic expression is 9b.
To learn more about an expression visit;
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Not sure how I would go about solving this problem. Any help would be appreciated
Answers
for simple answers
angle 1 = 128
angle 2 = 52
angle 3 = 47
angle 4 = 133
angle 5 = 81
2x² + 3 × (-x²) + 6x + 2
Answers
Answer:
1x²+5 x 6x
Step-by-step explanation:
What’s -9/6 divided by -1/8
Answers
Answer:
-9/6 divided by -1/8 equals 12
Step-by-step explanation:
. A negative divided by a negative is a positive so... 9/6 divided by 1/8
. To divide by a fraction, multiply by the reciprocal of that fraction so... 9/6 times 8
. Reduce the fraction with 3 so... 3/2 times 8
. Reduce the numbers with the greatest common factor 2 so... 3 times 4
. Multiply the numbers so... 3 times 4 equals 12
which set of vaules could be the side lengths of a 30-60-90 triangle
Answers
Answer:A 30-60-90 right triangle is a special right triangle in which one angle measures 30 degrees and the other 60 degrees. The key characteristic of a 30-60-90 right triangle is that its angles have measures of 30 degrees (π/6 rads), 60 degrees (π/3 rads) and 90 degrees (π/2 rads). The sides of a 30-60-90 right triangle lie in the ratio 1:√3:2.
Step-by-step explanation:
The side lengths of a 30-60-90 triangle can be expressed as x, x√3, and 2x, where x is a positive constant.
We have,
In a 30-60-90 triangle, the angles measure 30 degrees, 60 degrees, and 90 degrees.
The side lengths of a 30-60-90 triangle have a specific ratio.
Let's denote the length of the shortest side as x, the length of the side opposite the 60-degree angle as y, and the length of the hypotenuse as z.
The ratios of the side lengths in a 30-60-90 triangle are as follows:
Shortest side: x
Side opposite 60-degree angle: y = x√3
Hypotenuse: z = 2x
Given this ratio, we can determine which set of values could be the side lengths of a 30-60-90 triangle.
The values must satisfy the above relationships.
Possible sets of values for the side lengths of a 30-60-90 triangle are:
Set 1:
x = 1
y = x√3 = √3
z = 2x = 2
Set 2:
x = 2
y = x√3 = 2√3
z = 2x = 4
Set 3:
x = 3
y = x√3 = 3√3
z = 2x = 6
Set 4:
x = k (where k is any positive constant)
y = x√3 = k√3
z = 2x = 2k
These sets of values satisfy the ratios for a 30-60-90 triangle.
Remember that the ratios are consistent, so any positive constant can be chosen for the length of the shortest side (x), and the other side lengths (y and z) will follow accordingly.
So,
Any set of values that satisfy the ratios given above could be the side lengths of a 30-60-90 triangle.
Thus,
The side lengths of a 30-60-90 triangle can be expressed as x, x√3, and 2x, where x is a positive constant.
Learn more about triangles here:
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What type of function is y=2^x +8
Answers
Answer:
y = 2ˣ + 8 represents the exponential function.
The graph of the function y = 2ˣ + 8 is also attached below.
Step-by-step explanation:
We know that the general exponential function is of the form
f(x) = aˣ
were a > 0
Given the function
y = 2ˣ + 8
Comparing with y = aˣ, it is clear that the function y = 2ˣ + 8 represents the exponential function.
where a = 2
We can also determine the y-intercept of y = 2ˣ + 8 by setting x = 0, and determining the corresponding value of y.
i.e.
y = 2ˣ + 8
y = 2⁰ +8 ∵ 2⁰= 1
y = 1+8
y = 9
Thus, (0, 9) represents the y-intercept of the exponential function y = 2ˣ + 8.
Therefore, y = 2ˣ + 8 represents the exponential function.
The graph of the function y = 2ˣ + 8 is also attached below.
The ratio of kids to adults at a school festival is 11 : 7. Suppose there are a total of 810 kids and adults at the festival. How many adults are at the festival?
Answers
Answer:
315
Step-by-step explanation:
So with the ratio, you can tell that 11/18 of the people at the festival are kids, and 7/18 are adults.
Since you want to find the number of adults, just multiply.
7/18 x 810
You can cross multiply to get rid of 18 and 810 will simplify into 45. So then you are left with multiplying
7 x 45
=315
So, 315 is your answer
Answer: 315 Adults.
Step-by-step explanation:
Let the number of adults is x.
Then the number of kids is (810-x).
The ratio of kids to adults is
810 - x/x = 11/7
It is your basic equation, which you get from the condition.
To solve it, cross multiply; then simplify
7*(810-x) = 11x
7*810 - 7x = 11x
7*810 = 11x + 7x
7*810 = 18x
x = 7 x 810/18 = 315.
Expressed answers As reduced fraction. Find the trig value.
Tan A=
Answers
Answer:
The value of tan A: 40/9
i.e.
tan A = 40/9
Step-by-step explanation:
Given
Hypotenuse = 41
To determine
m ∠ A = ?
Using the trigonometric ratio
tan A = opposite / adjacent
Here:
Opposite of m ∠ A = 40Adjacent of m ∠ A = 9Thus, substituting opposite = 40 and adjacent = 0 in the equation
tan A = opposite / adjacent
tan A = 40/9
Therefore, the value of tan A: 40/9
i.e.
tan A = 40/9
Which of the following is an improper integral?
A) the integral from 0 to 3 of the quotient of the quantity x plus 1 and the quantity 3 times x minus 2 dx
B) the integral from 1 to 3 of the quotient of the quantity x plus 1 and the quantity 3 times x minus 2 dx
C) the integral from negative 1 to 0 of the quotient of the quantity x plus 1 and the quantity 3 times x minus 2 dx
D) None of these
Answers
Answer:
A) [tex]\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx[/tex]
General Formulas and Concepts:
Calculus
Discontinuities
Removable (Hole) Jump Infinite (Asymptote)Integration
IntegralsDefinite IntegralsIntegration Constant CImproper IntegralsStep-by-step explanation:
Let's define our answer choices:
A) [tex]\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx[/tex]
B) [tex]\displaystyle \int\limits^3_1 {\frac{x + 1}{3x - 2}} \, dx[/tex]
C) [tex]\displaystyle \int\limits^0_{-1} {\frac{x + 1}{3x - 2}} \, dx[/tex]
D) None of these
We can see that we would have a infinite discontinuity if x = 2/3, as it would make the denominator 0 and we cannot divide by 0. Therefore, any interval that includes the value 2/3 would have to be rewritten and evaluated as an improper integral.
Of all the answer choices, we can see that A's bounds of integration (interval) includes x = 2/3.
∴ our answer is A.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
What is the last digit of
[tex]1 \times 3 \times 5 \times 7 \times 9 \times 11 \times 13[/tex]
A. 5
B. 3
C. 7
D.6
E. 9
Answers
Since their is a 5 in the sequence the answer is always either going to end in a 0 or a 5. since zero isn’t an option the answer is 5.
Ramon simplified this expression correctly. Here is what he wrote 12x+2-5. 12x-3 why didn't Ramon combine the 12x with the 2 or -5
Answers
Answer:
He didn't combine the 12 with the two or the -5 because it has a variable.
Step-by-step explanation:
There is an unknown to it, like how much it is multiplied by or something. Since the 2 and the -5 didn't have a variable attached to them, they could be combined with teach other, but not the 12.
–5x + 4 – x –1 a. terms: -5x, 4, -x, -1; like terms: -5x, -x; 4, -1; coefficients: -5, -1; constants: -1 b. terms: -5x, 4, -x; like terms: -5x, -x; 4, -1; coefficients: -5, -1; constants: 4, -1 c. terms: -5x, 4, -x, -1; like terms: -5x, -x; 4, -1; coefficients: -5, -1; constants: 4, -1 d. terms: -5x, 4, -x, -1; like terms: -5x, -x; 4, -1; coefficients: 4, -1; constants: -5, -1
Answers
Given:
The expression is
[tex]-5x+4-x-1[/tex]
To find:
The terms, like terms, coefficients and constants.
Solution:
We have,
[tex]-5x+4-x-1[/tex]
It can be written as
[tex]=(-5x)+4+(-x)+(-1)[/tex]
So, terms are [tex]-5x,4,-x,-1[/tex].
It two terms have same variable of same degree, then they are called like terms.
[tex]-5x,-x[/tex] are likes terms because degree of variable is 1 and 4, -1 are like terms because degree of variable is 0.
In the product of a number and a variable, the number is called coefficient.
Variable terms are [tex]-5x,-x[/tex]. So, coefficients are -5 and -1.
Constant terms are free from variable. So, constant terms are 4 and -1.
Terms: [tex]-5x,4,-x,-1[/tex];
Like terms: [tex]-5x, -x;4, -1[/tex];
Coefficients: -5, -1;
Constants: 4, -1
Therefore, the correct option is c.
A cylinder has a radius of 5 cm, and a height of 10 cm. What is the
volume? Use 3.14 as it.
Answers
Answer:
785 cm³
Step-by-step explanation:
3.14x5x5x10=785
sasssssssssssssssssssssssssssssssssssss
What is the measure of
Answers
Answer:
The measure of Angle B = 82
Step-by-step explanation:
⁕We have to calculate the angle for A.
‣Notice how angles A is on a straight angle, a straight angle equals 180 degrees by the way.
⁕You are going to subtract 143 from 180.
[tex]180 - 143 = 37[/tex]
‣So the angle of A is 37. A triangle equals 180 degrees.
⁕You are going to combine angle A and Angle C and subtract it from 180, to find angle B.
[tex]61 + 37 = 98 \\ 180 - 98 = 82[/tex]
‣Therefore, angle B equals 82.
Write an algebraic equation and solve. Lisa needed to make a fruit salad. She bought 5 oranges for x dollars and 2 packs of strawberries for $5.00 each. She spent a total of $20.25. What is the price of 1 orange?
Answers
Answer:
The cost of 1 orange is $2.05.
Step-by-step explanation:
Lisa needed to make a fruit salad. She bought 5 oranges for x dollars and 2 packs of strawberries for $5.00 each. She spent a total of $20.25.
Cost of 5 oranges = $5x
Cost of 2 packs of strawberries = 2×5 = $10
ATQ,
5x + 10 = 20.25
Subtract 10 both sides
5x + 10 -10 = 20.25-10
5x = 10.25
x = 2.05
So, the cost of 1 orange is $2.05.
Simplify
2x + x + x + 2y x 3yx y
Answer ?
Answers
Answer:
4x + 6y ...y cube
like y square y cube y3
Answer:
4x + 6y^3
Step-by-step explanation:
2x + x +x + 2y x 3y x y
4x + 6y^3
Dividing by the wrong number when finding the mean is a:
interpretation error.
data collection error.
measurement error.
sampling error.
Answers
Answer:
measurement error
Step-by-step explanation:
hope this helps
find the area of a triangle with a base of 18 feet qnd a height of 7 feet
Answers
Answer:
63
Step-by-step explanation:
A= HxB÷2
7x18÷2=63
What is the range of the graph?
Answers
Answer:
y ≥ -1
Step-by-step explanation:
range consists of all y-values contained in the solution set
the lowest y-value (as seen by the graph) is negative 1
Can you please help? :)
Answers
Answer:
okay I also have no idea why why r busy and see
Answer:
i'm gonna say the answer is 16cm
Step-by-step explanation:
12/6 = 2
8/16 = 2
Choose Yes or No to tell if each statement is true.
A rhombus is a trapezoid.
Choose yes or no
A parallelogram has exactly 1 pair of parallel sides.
Choose yes or no
A rectangle is also a rhombus.
Choose yes or no
A rectangle is also a parallelogram.
Choose yes or no
Please say yes or no for every answer.
Answers
Answer: No, No, No, Yes
If two radio stations start conmercials at 10am, when will the stations have commercials at the same time? One station plays every 12 minutes the other every 8 minutes.
Answers
Answer: If two radio stations start commercials at 10 AM , then at 10:24 AM the stations will have commercials.
Step-by-step explanation:
Given: One station plays every 12 minutes the other every 8 minutes.
The minimum time at which both stations have commercials = lcm (12 and 8 )
12 = 2 x 2 x 3
8 = 2 x 2 x 2
LCM( 12 and 8)= 2 x 2 x 2 x 3 = 24
The minimum time at which both stations have commercials = 24 minutes
If two radio stations start commercials at 10 AM , then at 10:24 AM the stations will have commercials.
Solve for Y .
-6y + 4x = 8
Answers
Answer:
y= -4/3 + 2x/3
Step-by-step explanation:
giving points and brainly
Answers
Answer:
A 159.25 to the second power
Step-by-step explanation:
he simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.
What is the image point of (-4, 8) after a translation right 3 units and down 3 units?
Answers
Answer:
(-1,5)
Step-by-step explanation:
-4-(-3)=1
8-3=5