Question

Write your answer in the form a(x−h)2+k

#1 Find g(x)
where g(x)
is the translation 4 units left of f(x)=x2
g(x) =

Answer 1

To translate the function \( f(x) = x^2 \) 4 units to the left, we need to replace \( x \) with \( x + 4 \).

Thus, the function \( g(x) \) can be expressed as:

\[
g(x) = (x + 4)^2
\]

To write this in the form \( a(x - h)^2 + k \), we need to rearrange \( g(x) \):

\[
g(x) = 1(x - (-4))^2 + 0
\]

So in the form \( a(x - h)^2 + k \), we have:

\[
g(x) = 1(x + 4)^2 + 0
\]

Collectively, the final answer is:

\[
g(x) = 1(x + 4)^2 + 0
\]