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

The graph will always have zero x-intercepts.

The function will always have a minimum.

The y-intercept will always be the vertex.

The axis of symmetry will always be positive.

The graph of which function has a y-intercept of 3?

On a coordinate plane, a parabola opens up. It goes through (negative 3, 3), has a vertex at (negative 1.5, 0.75), and goes through (0, 3).

On a coordinate plane, a parabola opens up. It goes through (1, 4), has a vertex at (3, 0), and goes through (5, 4).

On a coordinate plane, a parabola opens up. It goes through (negative 5, 4), has a vertex at (negative 3, 0), and goes through (negative 1, 4).

On a coordinate plane, a parabola opens up. It goes through (negative 4, 5), has a vertex at (negative 1, negative 4), and goes through (2, 5).

What is the y-intercept of the graph of the function f(x) = x2 + 3x + 5?

(0, –5)

(0, –3)

(0, 3)

(0, 5)

Which statements about the graph of the function f(x) = –x2 – 4x + 2 are true? Select three options.The domain is {x|x ≤ –2}.The range is {y|y ≤ 6}.The function is increasing over the interval (–∞ , –2).The function is decreasing over the interval (−4, ∞).The function has a positive y-intercept.

The domain is {x|x ≤ –2}.

The range is {y|y ≤ 6}.

The function is increasing over the interval (–∞ , –2).

The function is decreasing over the interval (−4, ∞).

The function has a positive y-intercept.

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)

On a coordinate plane, a parabola opens up. It goes through (negative 8, negative 2), has a vertex at (negative 5, negative 6.5), goes through (negative 2, negative 2), and has a y-intercept at (0, 6).