Question

Use this description to write the quadratic function in vertex form:The parent function f(x)=x^2 is vertically stretched by a factor of 2 and translated 14 units right and 6 units up.

Answer 1

The vertex form is given by:

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

The parent function is:

$f(x)=x^2$

The function is vertically stretched by a factor of 2 :

$2f(x)=2x^2$

and translated 14 units right:

$2f(x-14)=2(x-14)^2$

and 6 units up:

$2f(x-14)+6=2(x-14)^2+6$

Answer:

$g(x)=2(x-14)^2+6$