Question

Pls help

Letf(x)=(x+2)2.

Letg(x)=3(x+2)2.



Which statement describes the graph of g(x) with respect to the graph of f(x)?



It is compressed horizontally by a factor of 3.
It is translated up 3 units.
It is stretched vertically by a factor of 3.
It is translated right 3 units.

Answer 1

The difference between g(x) and f(x) is that g(x) has a 3 in front being multiplied.

g(x) is the same as saying y, so…
y=3(x+2)2

Because it is multiplying all of the terms by 3, y will be 3 times larger than it would be in f(x). Y is the vertical variable, so it will be stretched vertically by 3.

Alternatively, depending on how your teacher teaches it, 3 is in the location of the “a” value. A is a number that stretches an equation vertically by a factor of itself. Since a=3, the equation is stretched by a factor of 3.