Question

Suppose that the x-intercepts of the graph of y = f(x) are -5 and 3

a) What are the x-intercepts of the graph of y = f(x+2)?

Answer 1

if the x intercepts of f(x) is -5 and 3 that means the factors are

(x+5) and (x-3)

that means the equation is

y = x^2 + 2x - 15

does that help?

Answer 2

Ok I understand what you did there. But how is that supposed to help me find the x-intercepts of the other equation?

Answer 3

you get f(x+2)

you do this by substituting x+2 to every x in what i wrote.

for example

f(x+2) = (x+2)^2 + 2(x+2) -15

so now simplify that and tell me what you get