4
QuizMultiple Choice

Quadratic Functions: Standard Form — Quiz

Question 4 • Algebra I

For all functions of the form f of x is equal to A x squared plus b x plus c , which is true when b is equal to 0 ?

Answer
A
The graph will always have zero x -intercepts.
B
The axis of symmetry will always be positive.
C
The y -intercept will always be the vertex.
D
The function will always have a minimum.

Explanation

When b = 0, the function is f(x) = Ax² + c. Its vertex is at x = −b/(2A) = 0, and the y-intercept also occurs at x = 0, so the y-intercept is the vertex. The function may open downward, so it does not always have a minimum.

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