Applications of Quadratic Functions

What algebraic term are you solving for if the word problem is: The equation for leaping off a cliff is h = -16t^2 + 8t +24.  How long will it take for you to hit the water?

• Roots (Solutions)
• Axis of Symmetry
• Vertex
• y-intercept

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.11

Ed hits a shot off the tee that has a height modeled by the function f(t) = -16t² + 112t.  What is the height of the ball after 1 second?

• 0 ft
• 160 ft
• 96 ft
• 112 ft

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.C.7

An object flies through the air and follows a parabolic path. What does the y-axis represent? 

• time 
• height from the ground 
• horizontal distance 
• money 

Tags

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

An object flies through the air and follows a parabolic path. Which of these typically represents the x-axis? 

• time 
• height from the ground 

An object in launched directly upward and the height of the object is represented by the equation s(t) = –16t² + 64t + 80. What is the initial velocity the object is launched at?

• 64 feet

• 80 feet

• 16 feet

• -16 feet

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

If I want to find out when an object hits the ground, I should _________.

• Use x = (-b/2a) as my answer.
• Set my equation = 0 and solve.
• Replace x with 0 and evaluate.
• Find the y-coordinate of the vertex.

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

When I want to find the maximum or minimum height of an object, I should_____.

• Set the equation = 0 and solve.
• Use x = (-b/2a) as my answer.
• Substitute x = 0 into the equation.
• Find the y-coordinate for the vertex.

Tags

CCSS.HSA.REI.B.4

Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec. This can be modeled with the function h(t) = -16t² + 96t. When does the maximum height occur?

• 6 seconds

• 3 seconds

• 145 seconds

• 160 seconds

How many zeros does this parabola have? 

• 3
• 2
• 0
• 1

Tags

CCSS.HSF-IF.C.7A

What is the arrow pointing at? How can you use this value to determine the minimum/maximum values?

• The arrow is pointing at the y-intercept. The y value of this point is equivalent to the maximum/minimum 
• The arrow is pointing at the vertex. The x value of this point is equivalent to the maximum/minimum
• The arrow is pointing at the solution. The y value of this point is equivalent to the maximum and the x value is equivalent to the minimum
• The arrow is pointing at the vertex. The y value is equivalent to the minimum/maximum

Tags

CCSS.HSF-IF.C.7A