Question

write the equation of the following function A quadratic function that is streched vertically by 3 units and transformed 7 units to the left and 2 units up.

Answer 1

We have to use the quadratic parent function

$y=x^2$

A vertical stretch by 3 units means we have to multiply by 3

$y=3x^2$

7 units to the left mean we have to add 7 to x

$y=3(x+7)^2$

At last, 2 units up mean we have to add 2 to the function

$y=3(x+7)^2+2$

Hence, the function is

$y=3(x+7)^2+2$