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. 

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

How does the graph of g(x)=3x² compare to the quadratic parent function f(x)=x² ?

• The graph of g(x) is wider than the graph of f(x).
• The graph of g(x) is narrower than the graph of f(x).
• The graph of g(x) is translated up 3 units above f(x).
• The graph of g(x) is translated down 3 units below f(x).

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

Which of the following is written in the correct vertex form and identifies the correct vertex and y-intercept for the function                 f(x)= x²+6x-1?

• y=(x+3)²-10
  Vertex: (-3, -10)
  y-intercept: (0, -1)
• y=(x+3)²+19
  Vertex: (-3, 19)
  y-intercept: (0, 1)
• y=(x+3)²+1
  Vertex: (-3, -1)
  y-intercept: (0, -10)
• y=(x-3)²+10
  Vertex: (3, 10)
  y-intercept: (0, -1)

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.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

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 

What is the vertex for
f(x)=4(x-2)² + 3

• (-2, 3)
• (2,-3)
• (4,3)
• (2,3)

What is the axis of symmetry for 
f(x)=4(x-2)² + 3

• 4
• 2
• x = -2
• x = 2