Quadratic Applications

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

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.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

If I want to see the initial height of an object, I should _____________.

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

Tags

CCSS.HSA.REI.B.4

Where do we look for initial velocity in an acceleration question?

• The constant
• The coefficient of the squared term
• The coefficient of the linear term
• Initial velocity is not in this equation!

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.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.11

A raft is dropped from a helicopter 256 feet in the air above the ocean.  Its approximate height, h, after t seconds is given by the function h(t) = -16t² + 256.  How many seconds did it take the raft to hit the water? 

• -4
• 2
• 4
• 8

Ed hits a shot off the tee that has a height modeled by the function f(t) = -16t² + 112t.  How long is the ball in the air?

• 3.5 seconds
• 5 seconds
• 7 seconds
• 8 seconds

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Superman kicks a ball into the air.  The path can be found using the equation d(t) = -16t²+ 48x, how long is the ball above 30 feet?

• 1 seconds
• 5 seconds
• 4 seconds
• 6 seconds

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

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. What is the range of the function?

• 0 ≤ y ≤ 145

• y ≤ 145

• 0 ≤ x ≤ 6

• All Reals

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

A ball is thrown vertically into the air.  Its height in feet after t seconds is given by the equation h(t) = –5t² + 20t, and is graphed below.  How high will the ball be after 3 seconds?

• 20 ft
• 15 ft
• 5 ft
• 10 ft

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1