CPM Homework Help : INT3 Problem 5-72

Given $f(x)=-2(x-1)^2+3$ , state the equation of the parent graph. Then describe how $f(x)$ is transformed from the parent graph.

Hint:

Pay attention to the expression in the parentheses and also its exponent.

Answer:

$y = x^2$

The graph of $y = f(x)$ is reflected over the $x$ -axis to open downward, stretched vertically by a factor of $2$ , and then translated $1$ unit right and $3$ units up to have a vertex at $(1, 3)$ .