SAT Math Practice Question #30263 - SATify | SATify

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SAT Math Practice Question #30263 - SATify | SATify

#30263

transformations

functions

medium

60 sec

Calculator OK

The function $f$ is defined by $f (x) = x^{2}$ . If the graph of $y = g (x)$ is obtained by shifting the graph of $y = f (x)$ down 5 units in the $x y$ -plane, what is the equation for $g (x)$ ?

A.

$g (x) = x^{2} + 5$

B.

$g (x) = (x - 5)^{2}$

C.

$g (x) = x^{2} - 5$

D.

$g (x) = 5 x^{2}$