Question

Evan graphs the function h(x)=x^2+4. Victor graphs the function g(x)=(x+4)^2. Which statments are true regarding the two graphs? Check all that apply.

Answer 1

The rest of the question is as following:
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1) Evan’s graph is a vertical translation of f(x) = x2.
2) Victor’s graph is a vertical translation of f(x) = x2.
3) Evan’s graph moved 4 units from f(x) = x2 in a positive direction.
4) Victor’s graph moved 4 units from f(x) = x2 in a positive direction.
5) Evan’s graph has a y-intercept of 4.
6) Victor’s graph has a y-intercept of 4.
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Solution :
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The functions plotted by Evan and Victor forms a parabola as shown in attached figure.

The correct answers from the choices are:

1) Evan’s graph is a vertical translation of f(x) = x2.

3) Evan’s graph moved 4 units from f(x) = x2 in a positive direction.

5) Evan’s graph has a y-intercept of 4.