Question

what is the function g(x) created from f(x)= x^2 by moving the graph left 4 units, vertically stretching it by a factor of 5, and shifting the graph down 8 units

Answer 1

As given by the question

There are given that the equation of current graph:

$f(x)=x^2$

Now,

According to the question,

There are also given that graph left 4 units, that means

$(x+4)^2$

Then,

Vertical stretching it by a factor of 5 units

So,

The equation will be:

$f(x)=5(x+4)^2$

Then,

And, shifting the graph down 8 units

So,

$f(x)=5(x+4)^2-8$

Hence, the correct option is D