Quadratics Review

The graph below describes a ball that was kicked. Which of the following is a true statement describing the graph? 

• The ball was kicked from 500 centimeters from the ground and it traveled for 4 seconds.
• The ball was kicked from the ground and it was in the air for 4 seconds. 
• The ball had a maximum height of 2000 centimeters and it was in the air for a total of 2 seconds. 
• The ball had a maximum height of 1000 centimeters and it was in the air for 4 seconds. 

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which of the following describes the graph of f(x)= x² - 2x -15.

• The graph has a maximum and has the x-intercepts of (-3, 0) and (5, 0)
• The graph has a minimum and has the x-intercepts of (-3, 0) and (5, 0)
• The graph has a maximum and has the x-intercepts of (3, 0) and (-5, 0)
• The graph has a minimum and has the x-intercepts of (3, 0) and (-5, 0)

Tags

CCSS.HSF-IF.C.7A

Which if the following is an equation for a quadratic function that opens downward and has the vertex of (-4, 7)?

• f(x)= -(x-4)²+7
• f(x)= (x+4)²+7
• f(x)= -(x+4)²+7
• f(x)= (x-4)²+7

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the solution set for the quadratic function? 

• {-1.4, 4.2}
• {-1.4}
• {4.2}
• {1.5}

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.3

Which of the equations represent the graph?

• y=(x+3)(x-1) and y=x²+2x-3
• y=(x+3)(x-1) and y=-x²-2x+3
• y=-(x-3)(x+1) and y= x²+2x-3
• y=-(x+3)(x-1) and y= -x²-2x+3

Tags

CCSS.HSF-IF.C.7A

What are the zeros for the quadratic function? 

• (-6, 0) and (14, 0)
• (-50, 0) and (14, 0)
• (-6, 0) and (-50, 0)
• (-50, 0) and (-60, 0)

Tags

CCSS.HSF-IF.C.7A

A rocket was launched from a balcony 10 feet from the ground. The rocket modeled the equation h(t)= -t² + 6t + 10, where t represent time in seconds and h(t) represents the height in feet. What is the maximum height the rocket will reach before it starts to go back down? 

• 10 feet 
• 19 feet
• 13 feet
• 16 feet 

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

A quadratic function has zeros -7 and 9.

Write the function in intercept form.

• y=(x+7)(x-9)

• y=(x-7)(x+9)

• y=(x+7)(x+9)

• y=(x-7)(x-9)

What are the x-intercepts?

• 0 and 2
• -4 and 0
• 2 and 3
• 0 and 4

Tags

CCSS.HSF-IF.C.7A

Use the graph to determine the solutions of the equation

0 = x² - 5x + 1

• 0 and 5

• 0.5 and 4.5

• 0.2 and 4.8

• 1 and 7

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11