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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

what is the function gx created from fx x2 by moving the graph left 4 units vertically stretching it by a factor of 5 and shifting the graph down 8 units class=

Respuesta :

As given by the question

There are given that the equation of current graph:

[tex]f(x)=x^2[/tex]

Now,

According to the question,

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

[tex](x+4)^2[/tex]

Then,

Vertical stretching it by a factor of 5 units

So,

The equation will be:

[tex]f(x)=5(x+4)^2[/tex]

Then,

And, shifting the graph down 8 units

So,

[tex]f(x)=5(x+4)^2-8[/tex]

Hence, the correct option is D