Question

Will this equation open up or down? f(x) = -30 + 2x^2 – 5x A. Opens Up B. Opens Down C. Opens left D. Opens right

Answer 1

A

Explanation:

given a quadratic in standard form

f(x) = ax² + bx + c ( a ≠ 0 )

• if a > 0 , then opens up

• if a < 0 , then opens down

given

f(x) = - 30 + 2x² - 5x , that is

f(x) = 2x² - 5x - 30 ← in standard form

with a = 2 > 0 , then opens up

Answer 2

The correct answer is A.