Exercises: Use Factoring and Completing the Square

Work through each section in order. Show your work where indicated. For completing the square, show each step of the process.

Grade 9·19 problems·~30 min·Common Core Math - HS Functions·standard·hsf-if-c-8a

Work through problems with immediate feedback

Recall / Warm-Up

For the parabola $f(x) = -2(x - 1)^2 + 7$ , does the vertex represent a maximum or minimum value?

Maximum, because $a = -2 < 0$ means the parabola opens downward.

Minimum, because $a = -2 < 0$ means the parabola opens downward.

Maximum, because the vertex $y$ -value is positive.

Minimum, because the vertex $y$ -value is $7 > 0$ .