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#36928

transformations

medium

60 sec

The height $h (t)$ , in meters, of a projectile $t$ seconds after being launched from a platform is modeled by the function $h (t) = - 4.9 t^{2} + 20 t + 30$ . The graph of $y = h (t)$ is shown. If the projectile were launched from a platform that is 12 meters lower than the original platform, which of the following functions would model the new height of the projectile?

A.

$h_{n e w} (t) = - 4.9 t^{2} + 20 t + 18$

B.

$h_{n e w} (t) = - 4.9 t^{2} + 20 t + 42$

C.

$h_{n e w} (t) = - 4.9 (t - 12)^{2} + 20 (t - 12) + 30$

D.

$h_{n e w} (t) = - 4.9 t^{2} + 8 t + 30$