Quadratic Functions: Standard Form

Question 1

For all functions of the form f(x) = ax2 + bx + c, which is true when b = 0?

Revolt · Accepted Answer

The y-intercept will always be the vertex.

Question 2

What is the x-intercept of the graph of the function f(x) = x2 − 16x + 64?

Revolt · Accepted Answer

(8, 0)

Question 3

The graph of which function has an axis of symmetry at x = 3?

Revolt · Accepted Answer

f(x) = x2 – 6x – 1

Question 4

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).

Revolt · Accepted Answer

{y|y ≥ –11}

Question 5

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?

Revolt · Accepted Answer

(−5, 41)

Question 6

On a coordinate plane, a parabola opens down. It goes through (negative 2, negative 2), has a vertex at (1.5, 10), and goes through (5, negative 2).

Revolt · Accepted Answer

(–∞, 1.5)

Question 7

On a coordinate plane, a parabola opens up. It goes through (negative 6, 0), has a vertex at (negative 2, negative 16), has a y-intercept at (0, negative 12), and goes through (2, 0).

Revolt · Accepted Answer

(–6, 0), (2,0)

Question 8

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

Revolt · Accepted Answer

−9

Question 9

The axis of symmetry for the graph of the function is x=6. What is the value of b?

Revolt · Accepted Answer

−3

Question 10

Which is the graph of the function f(x) = x2 + 2x – 6?

Revolt · Accepted Answer

On a coordinate plane, a parabola opens up. It goes through (negative 6, 0), has a vertex at (negative 2, negative 8), and goes through (2, 0).

Quadratic Functions: Standard Form Answers

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