Which function is represented by the graph? f(x) = â’|x â’ 3| 4 f(x) = â’|x 3| 4 f(x) = â’|x â’ 4| 3 f(x) = â’|x 4| 3.
Answers
Functions are used to represent graphs, and vice versa.
The function represented by the graph is [tex]f(x) =- |x + 4| + 3[/tex]
The graph (see attachment) is an absolute value graph.
An absolute value graph is represented as:
[tex]f(x) =a |x - h| + k[/tex]
Where
[tex]Vertex = (h,k)[/tex]
The vertex is the minimum or the maximum point on the graph.
So, we have:
[tex]Vertex = (-4,3)[/tex]
The function becomes
[tex]f(x) =a |x + 4| + 3[/tex]
The function also passes through the point (-1,0).
So, we have:
[tex]0 =a |-1 + 4| + 3[/tex]
[tex]0 =a |3| + 3[/tex]
Remove the absolute bracket
[tex]0 =3a + 3[/tex]
Subtract 3 from both sides
[tex]3a =- 3[/tex]
Divide both sides by 3
[tex]a =- 1[/tex]
Substitute -1 for (a) in [tex]f(x) =a |x + 4| + 3[/tex]
[tex]f(x) =- |x + 4| + 3[/tex]
Hence, the function represented by the graph is [tex]f(x) =- |x + 4| + 3[/tex]
Read more about absolute value graphs at:
https://brainly.com/question/3381225
Related Questions
After her party, Kayla had 4 4/5 trays of brownies left over. Her 2 party guests each took home the same amount of leftover brownies. How many trays of brownies did each guest take home?
Answers
Answer:2.4 or 12/5
Step-by-step explanation: (4 4/5)/2 = 2.4
in a supermarket, bottles of lemonade are on a buy one get one half price offer.
The normal price of lemonade is 82p.
How much would it cost to get exactly three bottles of lemonade using this offer?
£
Answers
Answer: 114p
Step-by-step explanation:
Hope it helps
Jessie has $120 saved and earns $40 each month in
allowance. Peter has $180 saved and earns $20 a month
in allowance. If they both save their entire allowances,
how long will it take before Jessie and Peter have saved
the same amount of money?
Answers
Answer:
3 months
Step-by-step explanation:
Jessie starts with $120 and get $40 a month
peter has $180 and get $20 a month
1 month passed Jessie now has $160 and Peter has $200
2 months passed Jessie now has $200 and Peter has $220
3 months passed Jessie now has $240 and Peter has $240
Find
Area of triangle when base is 4cm and angles 60 and 70
Answers
Answer: Area = 6.64966
Step-by-step explanation:
helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answers
Answer:
Step-by-step explanation:
41/6= 6 5/6
42/9=4 2/3
31/3=10 1/3
70/6=11 2/3
sorry if i’m late I don’t know how to write explanations
22= -11k what does k equal
Answers
Answer:
k = -2
Step-by-step explanation:
Divide 22 by -11 as well as -11k by -11
(You have to divide both sides by the number that k is to find your answer)
22 divided by -11 = -2
-11k divided by -11 = k
meaning you would get the answer of k = -2
find m angle 1 117+33+x=180
Answers
Answer:
angle x = 30 degrees
Step-by-step explanation:
180-117-33= x
180 - 117- 33= 30
117+33+x=180
117+33=150
180-150=30
x=30
117+33+30=180
180=180
honestly i dont know what you wanted me to do so i did what i know
Which equation is NOT a linear function?
y = x - 2
y = 2x
y= x to the 2nd power
y=x+2
Answers
Answer:
the 3rd one is not linear
y= x to the 2nd power
Eva is flying a kite, holding her hands a distance of 2.75 feet above the ground and
letting all the kite's string play out. She measures the angle of elevation from her
hand to the kite to be 25°. If the string from the kite to her hand is 130 feet long, how
many feet is the kite above the ground? Round your answer to the nearest tenth of a
foot if necessary.
Answers
Answer: 57.7 feet above the ground
sin 25= opposite/hypotenuse
= x/130
130 sin 25 = x
x=54.940374
54.940374+2.75 = 57.7
Using the picture below, which angle is alternate exterior to angle 2?
Answers
Let f(x) = 2(x − 1)² + 3 and h(x) = -f(x+3) - 1
Write h in terms of x
Answers
f(x+3)
[tex]\\ \sf\Rrightarrow 2(x+3-1)^2+3[/tex]
[tex]\\ \sf\Rrightarrow 2(x+2)^2+3[/tex]
[tex]\\ \sf\Rrightarrow 2(x^2+4x+4)+3[/tex]
[tex]\\ \sf\Rrightarrow 4x^2+8x+8+3[/tex]
[tex]\\ \sf\Rrightarrow 4x^2+8x+11[/tex]
Now
[tex]\\ \sf\Rrightarrow h(x)[/tex]
[tex]\\ \sf\Rrightarrow -f(x+3)-1[/tex]
[tex]\\ \sf\Rrightarrow -4x^2-8x-11-1[/tex]
[tex]\\ \sf\Rrightarrow -4x^2-8x-12[/tex]
[tex]\\ \sf\Rrightarrow 4(-x^2-2x-3)[/tex]
what is the correct answer to: 0.9 x (8.2 x 20.35)
Answers
Answer:
150.183
Step-by-step explanation:
0.9 x (8.2 x 20.35) =
0.9 x (166.87) =
150.183
Please answer this ASAP
Solve for x.
5x−3=13−3x
A: x=-2
B: x= -5
C: x=2
D: x=5
Answers
Answer:
c: x=2
Step-by-step explanation:
5x-3= 13-3x
+3 +3
5x=16-3x
+3 +3
8x=16
divide all of it by 8 and thats how you get your answer
Find the value of
-12
20
36
-10
Answers
Answer:
20 is the answer.Step-by-step explanation:
(-4)² + (-2)²=> 16 + 4=> 20Conclusion:
Therefore, 20 is the answer.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Option B
one of the same side exterior angles of two parallel lines is 20 degrees less than the other same side exterior angle find the measures of the two angles (pls help i will give 25 points)
Answers
Answer:
25 I am not a fan of the gas increases when the piston is pushed in the next war
What are some possible solutions for the following?
Answers
Answer:
After solving the problem, the answer is x>1/2. However I do not see the answer choice provided so I do not know the answer to the question
Step-by-step explanation:
Hello!! :3
Please answer the question below.
-hello10olleh (hello)
Answers
Answer:
sequence B
Step-by-step explanation:
Answer:
IT SHALL BE Bbbbbbbbbbbbbbbbbbbbbbbbbbbb
HoPe ThIs HeLpS
154 sq. cm is the area of a circle
so find its radius
[tex]\pi =\frac{22}{7}[/tex]
Answers
Answer:
r = 7 cm
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( where r is the radius )
Given A = 154 , then
πr² = 154 , that is
[tex]\frac{22}{7}[/tex] r² = 154 ( multiply both sides by 7 to clear the fraction )
22r² = 1078 ( divide both sides by 22 )
r² = 49 ( take square root of both sides )
r = [tex]\sqrt{49}[/tex] = 7 cm
Help please. I dont know how to do this :((
Answers
Answer:
You need the distance of all four sides so that is:
2 * (5y +1) + 2 * (2y -3) which equals
10y + 2 + 4y -6 and that equals
14y -4
Step-by-step explanation:
My question that I need help on
Answers
Answer:
Step-by-step explanation:
which table can be represented by the equation y=3x+2
Answers
Find the greatest common factor of 15c and 8c2.
Answers
6/7 is in simplest form
Answers
Answer:
6/7 is the simplest form.
Hope this helps :)
What is the scale factor that takes the large triangle to the small triangle?
Answers
Step-by-step explanation:
such a scale factor applies to all sides and lines.
we see that DE is 12 units, and AB is 4 units.
so,
12×f = 4
f = 4/12 = 1/3 is the scale factor
control : check the other side
FE = 6 units
6 × 1/3 = 2
so, the corresponding side in the small triangle must be 2 units long.
and indeed, CB is 2 units long. all correct.
What is the slope of a line if x equals (-2 and y equals 4?
Answers
Answer:
can't be determined unless you give two points which is two sets of x and y points
An oil tanker is leaking at a constant rate per minute. After 11 minutes, 931 gallons of oil remain in the tanker. After 18 minutes, 633 gallons of oil remain in the tanker. Write the function f(t) that describes this scenario.
Answers
The function f(t) that describes this scenario will be A = -42.57t + 1399.28
Let the amount of oil remaining after time t be ALet the time taken be "t"
This required linear expression will be given as A= mt + b
Writing the gallons of oil and the time taken as a coordinate point (A, t), these are given as (11, 931) and (18, 633)
m is the rate of change = 633-931/18-11
m = -298/7
m = -42.57
Get the intercept;
633 = -42.57(18) + b
633 = -766.29 + b
b = 1,399.28
Heence the function f(t) that describes this scenario will be A = -42.57t + 1399.28
Learn more on functions here; https://brainly.com/question/17431959
SHOW WORK PLS.
y = x ^ 2 - x - 11
y = - x - 7
solve by substitution!
Answers
X^2-11=-7
X^2=4
X=2 (4 was reduced to 2 after the equation was square rooted)
Pls give brainliest so close to ranking up
What is the result when the number 15 is increased by 20%
Answers
Answer:
75
Step-by-step explanation:
15 divided by .20 = 75
20% is .20 and
15/.20 = 75 therefore your answer should be 75
I need so much help with this question
Answers
Step-by-step explanation:
Looking at the graph, we can see that
A = (3, -3)
B = (10, -5)
C = (6, -8)
Reflecting over the y axis means reflecting over the big, bold vertical line in the middle. To do this for a point (x, y) simply means changing the x value to -x. For example, to reflect (6, 7) over the y axis, we would turn it into (-6, 7)
A' = (-3, -3)
B' = (-10, -5)
C' = (-6, -8)
Plot these points on the graph and connect them to get your new triangle
Which best describes the transformation(s) from f(x) to g(x) ? A. Vertical shift down 2, less steep B. Vertical shift down 4, less steep C. Vertical shift down 4, double the slope D. Half as steep
Answers
Answer:
b
Step-by-step explanation:
ive never seen the word less than steep used but ik none of the other ones are right and that it moves down vertically by 4