CPM Homework Help : INT3 Problem 7-96

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7-96.

For each of the transformations below, write a new equation and describe how the parabola $f\left(x\right) = x^{2}$ is transformed.

$g\left(x\right) = f\left(x\right) + 3$
Hint (a):
Change $f\left(x\right)$ to $x^{2}$ in the equation.
Answer (a):
$g(x)= x^2 + 3$
Translated up $3$ units.

$h\left(x\right) = 3f\left(x\right)$
Partial Answer (b):
$h(x)=3x^2$

$j\left(x\right) = f\left(x + 3\right)$

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