how do i identify the horizontal translation of the parent function, f(x)= x squared
y=(x-4) squared

Question

how do i identify the horizontal translation of the parent function, f(x)= x squared
 y=(x-4) squared

anonymous · Answer

$$f(x)=a(x-h)^{2}+k$$
the horizontal shift is the value of x that makes (x-h) = 0

anonymous · Answer

for yours, you have

$$f(x)=(x-4)^{2}$$
what value of x makes (x-4) = 0?

anonymous · Answer

so basically plug in f(x) for y?

anonymous · Answer

?

anonymous · Answer

if
$$f(x) = x^{2}$$ is the parent function and 
$$g(x)=(x-4)^{2}$$ is the transformed function then g(x) is a horizontal shift of f(x).

The amount of horzontal shift is given by finding what value of x makes the (x-4) term equal 0.