Question

The graph of the function y=x^2 is reflected across the x-axis, then translated 2 units left and 6 units down. Choose the correct equation that representsthe new function.

Answer 1

we use the original function to start

$y=x^2$

if we want to move to left we sum directly to the variable the number of units t

then 2 units left is

$y=(x+2)^2$

if we want to move to down we subtract the number of units to whole expression

then 6 units down

$y=(x+2)^2-6$