Determine whether f(x) = –5x^2 – 10x + 6 has a maximum or a minimum value. find that value and explain how you know.

The vertex is the point (-1,11). is a maximum

Step-by-step explanation:

we know that

The equation of a vertical parabola in vertex form is equal to

where

(h,k) is the vertex

a is a coefficient

if a > 0 the parabola open upward and the vertex is a minimum

if a < 0 the parabola open downward and the vertex is a maximum

we have

Convert to vertex form

Complete the square

Factor the leading coefficient

Rewrite as perfect squares

The vertex is the point (-1,11)

The coefficient a=-5

so

a < 0 the parabola open downward and the vertex is a maximum

answer: c

step-by-step explanation: because you don't have to draw a point of intersection. couldyou give me brainliest?

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