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Sagot :
Answer:
Step-by-step explanation:
A: true. Her graph goes 4 units up.
B: False. His graph goes 4 units to the left. Be sure you check this answer out.
C: True. It moved from (0,0) to (0,4)
D: Victor's graph move left in the minus direction. False.
E. True. See C.
The correct statements are true regarding the two graphs are as follows;
Ava’s graph is a vertical translation of f(x) = x^2.
Ava’s graph moved 4 units from f(x) = x^2 in a positive direction.
Ava’s graph has a y-intercept of 4.
What is the function?
A function relates an input to an output. It is like a machine that has an input and an output. And the output is related somehow to the input.
Ava graphs the function h(x) = x^2 + 4.
Victor graphs the function g(x) = (x + 4)^2.
To find the y-intercept we plug in 0 for x;
[tex]\rm h(x) = x^2 + 4\\\\h(0)=(0)^2+4\\\\h(0)=4[/tex]
Ava’s graph has a y-intercept of 4.
Ava graphs the function h(x) = x^2 + 4.
If any number is added at the end then the graph will be shifted up. 4 is added at the end so there will be vertical translation.
Hence , Ava’s graph is a vertical translation of f(x) = x^2.
Also Ava moved 4 units up from f(x) = x^2 in a positive y- direction.
Victor graphs the function g(x) = (x + 4)^2.
If any number is added with x then the graph will be shifted left. the graph will be shifted in the negative x-direction.
Learn more about function here;
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