Question

functions f(x) and g(x) are shown below.

f(x) = x^2
g(x) = x^2 + 8x + 16

In which direction and by how many units should f(x) be shifted to obtain g(x)?

A. Left by 4 units

B. Right by 4 units

C. Left by 8 units

D. Right by 8 units

Answer 1

A - paste the equations into a google search to see the graphs

Answer 2

f(x) = x^2
g(x) = x^2 + 8x + 16 = (x + 4)^2

If you replace x by (x + a) in f(x) you move left by a units (a > 0)
If you replace x by (x - a) in f(x) you move right by a units (a > 0)

Here we replace x by (x + 4) to go from f(x) to g(x).

Therefore f(x) must be moved ....?

Answer 3

do you know what a "perfect square trinomial" is?

Answer 4

yeah i know what it is @jdoe0001

Answer 5

How do I solve this?

Answer 6

f(x) = x^2
g(x) = x^2 + 8x + 16 = (x + 4)^2

We get g(x) from f(x) by replacing x with (x + 4)

That means f(x) has been moved left by 4 units.