Question

Describe how the graph of y= x2 can be transformed to the graph of the given equation.

y = (x-14)2 - 9

Answer 1

Hi there!

Since the general formula of A quadratic equation equals
$y = {(x - p)}^{2} + q$
With q representation the translation to the left or right, and q the translation up or down.

The graph
$y = {x}^{2}$
is translated 9 down and 14 to the right to get
$y = {(x - 14)}^{2} - 9$

Hence, in coordinates we get the following translation (14, - 9)