contestada

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.

Respuesta :

We have to use the quadratic parent function

[tex]y=x^2[/tex]

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

[tex]y=3x^2[/tex]

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

[tex]y=3(x+7)^2[/tex]

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

[tex]y=3(x+7)^2+2[/tex]

Hence, the function is

[tex]y=3(x+7)^2+2[/tex]