Quadratic Functions and Graphs

1. The graph of a quadratic function is shown below: Find the following key features about the quadratic function: The vertex is: ______ The equation of axis of symmetry is: ______ The vertex is at a ______ (maximum or minimum) value of ______

• The vertex: (-2, -1), The equation of axis of symmetry is: x =- 2, The vertex is at a minimum value of -11

• The vertex: (-1, -4), The equation of axis of symmetry is: x = -1, The vertex is at a maximum value of -4

• The vertex: (0, 0), The equation of axis of symmetry is: x = 0, The vertex is at a minimum value of 0

• The vertex: (3, 2), The equation of axis of symmetry is: x = 3, The vertex is at a maximum value of 2

The graph of a quadratic function is shown below: Which statement is true based on the given graph?

• The function has a zero at -8.

• The maximum value of the function is -4.

• The equation of the axis of symmetry of the graph is x=-4

• The vertex of the graph is (-4,-2).

The graph of a quadratic function is shown below. What are the zeros of the function? Select TWO correct points that represent the solutions.

• (2,0)

• (3,-1)

• (6,8)

• (4,0)

• (0,8)

The table represents some points on the graph of a quadratic function, f. Find the range of f.

• All real numbers greater than or equal to 2.

• All real numbers less than or equal to 2.

• All real numbers greater than -19/4

• All real numbers less than or equal to -19/4

• x=-1 and x= -5/2

• x=1 and x= 2/5

• x=1 and x= -5/2

• x=-1 and x= 2/5

• x = -1 ± √20

• x = 1 ± √20

• x = -2 ± √2

• x = 5 ± √2

• x=6

• x=10

• x=8

• x=-4

• (2,-3)

• (0,0)

• (-2,3)

• (3,-2)

The quadratic function h, h(12) = 0 and h(−5/2) = 0. What is a possible equation for h in factored form? HINT: ORDER MATTERS HERE!!!!

An experiment examines the relationship between the number of miles a car travels per gallon of gasoline and the speed of the car, x, in miles per hour.

Which function best models the data? (Round to 2 decimal places)

• f(x) = 0.02x² − 1.13x + 46.65

• f(x) = 0.08x² − 0.10x + 45

• f(x) = −0.08x² − 0.10x + 45