The graph of a quadratic function with vertex (1,-3) is shown In the figure below . Find the domain and the range

Answers

Answer 1

Answer:

We can not see the graph, but that does not matter.

For a function y = f(x), the domain is the set of the possible values of x that we can input in the function, and the range is the set of the possible outputs.

First, for the domain, we start assuming that the domain is the set of all real numbers.

Then we look at our function, there is a point that causes a problem?

(a problem can be a zero in a denominator, for example)

Well, we have a quadratic equation, then we can not have any "x" in a denominator, then there are not problems, which means that the domain is the set of all real numbers.

For the range we first need to find the minimum (or maximum value) of f(x).

Here we know that the vertex is (1, - 3)

If the arms of the graph open upwards, then the minimum is at the vertex, which means that the minimum value of y is y = -3

And the arms go upwards infinitely, so there is no upper limit.

Then the range is the set of all numbers such that:

-3 ≤ y

Now, if the arms of the graph open downwards, then the maximum is at the vertex, which means that the maximum of our function is at y = -3

And with similar thinking than in the above case, we can find that the range is:

R:  y ≤ -3.


Related Questions

Solve for x
15 points for prize

Answers

×=20°

Hope this helps :)

Given the graph below, which of the following statements is true?

Answers

Answer:

A. the graph represent a one - to - one function because every x-value is paired with only y-value

Step-by-step explanation:

that's it

Question 1 of 10
What is the solution to this equation?
9x - 4(x - 2) = x + 20
A. X = 3
B. X = 7
C. X = -7
D. X = -3

Answers

Step-by-step explanation:

daddgeyeyeyeye daddd daddy safdad papap

A. x=3
9(3)-4(3-2)=3+23
23=23

What is the median for the set of data 3.5 1 3 4​

Answers

Answer:

3.5

Step-by-step explanation:

Test Scores

1, 1, 2, 3, 3, 4, 4, 5, 5, 5

median(middle #)

(3+4)/2 = 7/2 = 3.5

Answer:

3.5

Step-by-step explanation:

50+12÷3×5−2 do this for 25 points fast please (use PEMDAS)

Answers

Answer:

68

Step-by-step explanation:

HELP PLEASEEEEEE IM BEGGING YOUUU (question): Linda is making a line plot of the data below.

11.25, 12.5, 11.25, 14.125, 10.5, 11.25, 12

Which line plot represents the data correctly?

A.
A line plot shows a number line from 10 to 15 in intervals of 0.25. 10.5 has 1 dot. 11.25 has 3 dots. 12 has 1 dot. 12.5 has 1 dot. 14.125 has 1 dot.
B.
A line plot shows a number line from 10 to 15 in intervals of 0.25. 10.5 has 1 dot. 11.25 has 2 dots. 12 has 1 dot. 12.5 has 1 dot. 14.125 has 1 dot.
C.
A line plot shows a number line from 10 to 15 in intervals of 0.25. 10.5 has 1 dot. 11.25 has 3 dots. 12 has 1 dot. 12.5 has 1 dot. 13.75 has 1 dot.
D.
A line plot shows a number line from 10 to 15 in intervals of 0.25. 10.5 has 1 dot. 11.25 has 3 dots. 12 has 1 dot. 14.125 has 1 dot. ( PLEASE ANSWER ASAP) (i already made this question once pls dont get it wrong again) ill give 60 if correct!!

Answers

The answer is D ...........

Answer:

the answer is Actually A believe me i did the test

Step-by-step explanation:

what is a square unit​

Answers

Answer:

A square unit is a small area of a square used to find a total.

Step-by-step explanation:

Big chickens: A report from a poultry industry news Web site stated that the weights of broilers (commercially raised chickens) are approximately normally distributed with mean 1376 grams and standard deviation 183 grams. Use the TI-84 PLUS calculator and round your answers to at least two decimal places. (a) Find the 24th percentile of the weights. (b) Find the 86th percentile of the weights. (c) Find the second quartile of the weights. (d) A chicken farmer wants to provide a money-back guarantee that his broilers will weigh at least a certain amount. What weight should he guarantee so that he will have to give his customers' money back only 1% of the time

Answers

Answer:

i think its b

Step-by-step explanation:

What slope of the points (9,7) and (3,3)

Answers

Answer:

6/4

Step-by-step explanation:

Answer:

slope

=

21

16

Explanation:

to calculate the slope m use the

gradient formula

x

m

=

y

2

y

1

x

2

x

1

let

(

x

1

,

y

1

)

=

(

7

,

11

)

and

(

x

2

,

y

2

)

=

(

9

,

10

)

m

=

10

11

9

(

7

)

=

21

16

=

21

16

Step-by-step explanation:

What is the volume, in cubic centimeters, of a cube with an edge length of 15 centimeters?

Answers

Answer:

3375cm

Step-by-step explanation:

because it is asking for volume it is cubed

wich 15 x 15 x 15 3 times equals volume of cube hope that makes sense

Jonathan went shopping for a new pair of pants. Sales tax where he lives is 4.75%. The price of the pair of pants is $20. Find the total price including tax. Round to the nearest cent.

Answers

Answer:

20.95$

Step-by-step explanation:

To find the total price we need to find 4.75% of the 20 and to do that we need  to multply 20 with 4.75 and divide it by 100

20 × 4.75 ÷ 100 = 0.95

20$ + 0.95$ = 20.95$

Find the measurement of the angle labeled X


PLEASE IM REALLY BAD AT THESE QUICK!!!!!!!!!!!!!

Answers

Answer:

b.

42+x+90+8=180° linear pair

x=180-140=40°

x=40°

c.

10+x+90+3x=180 linear pair

4x=180-100

x=80/4=20

x=20°

factoring review 2 terms 1-8

Answers

Answer:

ok

Step-by-step explanation:

whats the question?

please answer this thanks

Answers

Answer:

try using an online calculator, it might help

Pls help !!!! Due today

Answers

Answer:

Im not so sure but i think its the 3rd option 168cm^2

Step-by-step explanation:

What does MIJ equal ?

Answers

What that guy is typing

Use the models above to explain why a 5×2/3 equals 10×1/3

Answers

Answer:

I kind of need the models to help with this one

I need help on homework its due tomorrow

Answers

look this up on quizlet

The radius of a circle is changing at the rate of 1/π inches per second. At what rate, in square inches per second, is the circle’s area changing when the radius is 5 inches?

Answers

Answer:

formula for the area A of a circle in terms of its radius r:

    A = πr2

It is important to remember that both r, and hence, A are functions of time, t.  Take the derivative of both sides with respect to t and obtain

    dA/dt = 2πr(dr/dt)

Note that we are using implicit differentiation here, since A and r are (implicit) functions of t.  Now we can find the required answers.

r = 5 inches.

Substitute r = 5 and dr/dt = 3 to get

    dA/dt = 2π5·3 = 30π ≅ 95.25

(the units are in2/min.)

r = 22 inches

    dA/dt = 2π22·3 = 132π ≅ 414.69

Hope that helps.

A garden is in the shape of a circle with a radius of 10 feet. Edging is place around the garden. How much edging, in feet, is needed to
go around the garden? Round your answer to the nearest whole number. Use 3. 14 for TT.
please!! I need it right jnow

Answers

Answer:

62.8 ft (of edging)

Step-by-step explanation:

We need to find the circumference of this circle, using C = 2(pi)r.

Here, C = 2(3.14)(10 ft) = 62.8 ft (of edging)

Answer:

63 feet is needed to  go around the garden.

Find the diameter of the circle with the given circumference. Use 3.14 for π(PI). C=22 cm

Answers

the answer is 7.006
Answer: 14.01274
Explanation: The formula of the diameter of a circle is 2xradius. We only have the Circumference so we divide 22 by pi which is 7.00637. After that we multiply the radius (7.00637) by 2 which gives us 14.01274. If you round it is equal to 14.0

A 32 ft board is cut into three pieces at a sawmill. The second piece is 5 ft longer than the first and the third piece is 1 ft longer than the second.
What are the lengths of the three pieces?

Answers

Answer:

The first piece is 7 ft long, the second piece is 12 ft long, and the third piece is 13 ft long

Step-by-step explanation:

Let x represent the length of the first piece.

Since the second piece is 5 ft longer than the first, it can be represented by x + 5

Since the third piece is 1 ft longer than the second, it can be represented by x + 6

Create an equation that adds all of these terms up to 32, and solve for x

(x) + (x + 5) + (x + 6) = 32

3x + 11 = 32

3x = 21

x = 7

So, the first piece is 7 ft long.

Using the expressions we created, solve for the lengths of the second and third pieces.

x + 5

7 + 5 = 12

x + 6

7 + 6 = 13

The first piece is 7 ft long, the second piece is 12 ft long, and the third piece is 13 ft long

Find the quotient of 376 divided by 4

Answers

Answer:

94

Step-by-step explanation:

Find a fraction with a demominator of 30 that is equivalent to 1/3

Answers

Answer:

10/30

Step-by-step explanation:

First, multiply the denominator by 10 to make 30.

Then, since we multiplied the denominator, we multiply the numerator. 1 x 10= 10

Therefore the answer is 10/30.

Line u has a slope of Line v is parallel to line u. What is the slope of line v? v יל Simplify your answer and write it as a proper fraction, improper fraction, or integer.​

Answers

Answer:

I have no idea what the answer is because I am in 6th grade but good luck

Step-by-step explanation:

I don't know

if Mike Burns 220 calories in 20 minutes and 275 calories is in 25 minutes 385 calories in 35 minutes how much calories did he burn in 29 minutes​

Answers

Answer:

319 calories

Step-by-step explanation:

Steps to answering this question :

Determine the amount of calories burnt per minute Multiply the answer gotten in the above step by 29 minutes to determine the total calories burnt in 29 minutes

Calories burnt per minute = total calories / minutes

220 / 20 = 11 calories

275 / 25 = 11 calories

385 / 35 = 11 calories

11 calories is burnt per minute

Total calories burnt in 29 minutes = calories burnt per minute x 29 minutes

11 x 29 = 319 calories

319

Evaluate the expression if y = -4. | 2/y + 1/2 (y+6)

DO NOT SEND ANY LINKS.

Answers

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

0.5

Step-by-step explanation:

If y = -4, then we must replace every variable y with the number 4. So, let's do that.

2/-4 + 1/2*(-4 + 6)

All we have to do now, is simplify. Parenthesis first...

2/-4 + 1/2*2

We can replace the 1/2*2 with 2/2 because they are the same thing.

2/-4 + 2/2

Now, solve from left to right.

-0.5 + 1 = 0.5

Therefore, the answer is equal to 0.5. Hope this helps!

Please answer look at pitot

Answers

Answer:

z = 7

Step-by-step explanation:

Based on the midsegment theorem of a triangle, the length of the midsegment of the triangle (z) = ½ of the length of the 3rd side of the triangle (14)

Thus:

z = ½(14)

z = 7

evaluate: (_1_i)^(5/3)​

Answers

Answer:

(

1

)

(

5

/

3

)

Step-by-step explanation:

What is the volume of a sphere with the diameter = 10 cm and the height = 200 cm ​

Answers

the equation is volume = 4/3 * pie * r3
the answer is 4,188.8 cubic centimeters
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