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

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.

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).