Question

Choose the function that shows the correct transformation of the quadratic function shifted eight units to the right and one unit down.1. ƒ(x) = (x - 8)² - 12. ƒ(x) = (x - 8)² + 13. ƒ(x) = (x + 8)² - 14. ƒ(x) = (x + 8)² + 1

Answer 1

Answer:

$f(x) = (x - 8)^2 - 1$.

Step-by-step explanation:

A quadratic function is a function that can be written in the form

$f(x)=a(x-h)^2+k$

where $a\neq 0$.

The number inside the parenthesis ($h$) makes the graph shift to the left when $h < 0$ or right when $h > 0$.

The number $k$ makes the graph shift down when $k < 0$ or up when $k > 0$.

We know that the quadratic function shifted eight units to the right and one unit down.

Therefore,

$h=8\\k=-1$

and the function is $f(x) = (x - 8)^2 - 1$.