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# Comparing Parabolas

ACTMAT-QEEYL8

Which of the following statements is true of the graphs of the functions:

$$f(x)=3{ (x-2) }^{ 2 }+4$$

...and:

$$g(x)= 2{ (x+1) }^{ 2 }+4$$

A

$f(x)$ and $g(x)$ both open downward.

B

The vertex of $g(x)$ is 3 units to the right of the vertex of $f(x)$.

C

The vertex of $f(x)$ is 3 units above the vertex of $g(x)$.

D

$g(x)$ is "narrower" than $f(x)$.

E

The vertex of $g(x)$ is 3 units to the left of the vertex of $f(x)$.