### Home > INT3 > Chapter 5 > Lesson 5.2.2 > Problem5-72

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. Homework Help ✎

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

$y = x^2$

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).