Quadratic Functions: Standard Form Answers

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The axis of symmetry for the graph of the function f(x)=3x2+bx+4 is . What is the value of b?

−18

−9

On a coordinate plane, a parabola opens up. It goes through (negative 3, 0), has a vertex at (negative 1, negative 11), and goes through (1, 0).

{y|y ≥ –1}

{y|y ≤ –1}

{y|y ≥ –11}

{y|y ≤ –11}

Which statements about the graph of the function f(x) = 2x2 – x – 6 are true? Select two options.

The domain of the function is .

The range of the function is all real numbers.

The vertex of the function is .

The function has two x-intercepts.

The function is increasing over the interval (, ∞).

The axis of symmetry for the function f(x) = −x2 − 10x + 16 is x = −5. What are the coordinates of the vertex of the graph?

(−5, 41)

(−5, 56)

(−5, 76)

(−5, 91)

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

The vertex is a maximum.

The y-intercept is negative.

The x-intercepts are negative.

The axis of symmetry is to the left of zero.

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