Question

If you horizontally shift the square root parent function, F(x)=√x, right eight units, what is the equation of the new function?A. G(x) = vx +8B. G(x)= √x-8C. G(x)= √x - 8D. G(x) = √√x+8

Answer 1

A horizontal shift of k units to the right means the value of x will decrease by k units.

If the function was translated 8 units right, the value of x will decrease 8 units:

$x^{\prime}=x-8$

So the new function will be:

$\begin{gathered} F(x)=\sqrt{x}\\ \\ G(x)=F(^x^{\prime})=F(x-8)=\sqrt{x-8} \end{gathered}$