Question

Find whether the function y =-2x^2 - 4x + 7 opens upward or downward. Also, findwhether it has a maximum or minimum point.

Answer 1

Given the following equation:

$\text{ y = -2x}^2\text{ - 4x + 7}$

Where,

a = -2

At a > 0, parabola opens up

At a < 0, parabola opens down

If the parabola opens up, it is a minimum functional value.

If the parabola opens down, it is a minimum functional value.

From the given equation with a = -2,

The graph is, therefore, opens down and has a maximum point.

The answer is CHOICE C : Opens downward, maximum point