Characteristic of a Quadratic Equation and Axis of Symmetry and Vertex

Determine if the function graphed has a maximum or a minimum value and identify that value.

• maximum at -1

• minimum at -1

• maximum at 4

• minimum at 4

f(x) = x² - 12x + 35

Find the vertex of the following.

• (7,0)

• (5, 0)

• (0, 35)

• (6, -1)

What direction is the following equation opening?
y=-3x²-7x+8

• Up

• Down

• Left

• Right

What does "a" control in a graph of f(x) = ax²+ bx+ c?

• Opens up or down

• Where the graph crosses at X-intercept

• Where the graph crosses at Y-intercept

What is the domain of the graph?

• All real numbers

• To Infinity and beyond

• y ≥ 0

• x ≥ 0

Which of the following are true about the quadratic function shown? (Choose TWO answers)

• There are two roots

• the axis of symmetry is at x = -2

• the vertex is a maximum

• the vertex is (-2, 0)

Which equation best represents the axis of symmetry for the quadratic function shown?

• x = 6

• y = 6

• x = 2

• y = 2

The graph of quadratic function k is shown on the grid. Which statements are best supported by the graph of k?

• I and II only

• I and III only

• II and III only

• I, II, and III

The graph of quadratic function f is shown on the grid.

Vertex: (a)  

y-intercept: (b)  

Axis of Symmetry: ​ (c)  

Minimum Value: (d)  

• (-3, -5)

• (0, 4)

• x = -3

• -5

• (-2, -4)

• (-6, 4)

• (4, 0)

• 4

• x = -5

• -4

A portion of a parabola is shown on the graph. Use the following to complete the statement(s).

The domain of the parabola is ​ (a)   . The range of the parabola is ​ (b)   . The axis of symmetry is ​ (c)   . The parabola has ​ (d)   roots.

• 2

• 1