CPM Homework Help : CCA Problem 11-22

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11-22.

Given the quadratic function $f(x)=(x−3)^2$ , find the new expression for each part below and describe the transformation.

Hint:

See problem 11-10 for additional help.

$f(x)−1$
Hint (a):
Substitute $(x−3)^2$ for $f(x)$ .
$f(x)−1$
$(x−3)^2−1$
Answer (a):
$(x−3)^2−1$ or $x^2−6x+8$
Shifted down $1$ .

$−1·f(x)$
Hint (b):
See the help for part (a).
Answer (b):
Reflected over $x$ -axis.

$f(x−1)$
Answer (c):
$(x−4)^2$ or $x^2−8x+16$

$f(−1x)$
Hint (d):
Substitute $−1x$ for $x$ in the original function.

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