Back to Use factoring and completing the square — Problem 3 · Task Set 23

HSF.IF.C.8.a Tutor Intake — Factoring and Completing the Square

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Grade 9·11 problems·~13 min·Common Core Math - HS Functions·standard·hsf-if-c-8a

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Concepts

The function $p(x) = -2(x - 1)^{2} + 8$ has a vertex at $(1,\, 8)$ . Does
the vertex represent a maximum or a minimum value of $p$ ?

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

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

Maximum, because $k = 8 > 0$

Minimum, because $k = 8 > 0$