29
QuizMultiple Choice

Quadratic Functions: Standard Form

Question 29 • FL-1200700-Mathematics for College Algebra MIS

The a value of a function in the form f(x) = ax2 + bx + c is negative. Which statement must be true?

Answer
A
The vertex is a maximum.
B
The y-intercept is negative.
C
The x-intercepts are negative.
D
The axis of symmetry is to the left of zero.

Explanation

When a < 0, the parabola opens downward. Its vertex is therefore the highest point on the graph, so the vertex is a maximum. The y-intercept, x-intercepts, and axis of symmetry can vary depending on b and c.

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