Using Graphs to solve quadratic equations

Select the solutions to the equation

2x² - 3x - 2 = 0

• x = 2

• x = -0.5

• x = - 3

• x = - 2

Tags

CCSS.HSA.REI.B.4

Select the solutions to the equation

2x² - 13x + 15 = 0

• x = 1.5

• x = 5

• x = - 6

• x = 2

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

• -4, 2
• -2, 4
• -16
• -4

Tags

CCSS.HSA-REI.B.4B

When a basketball is shot, it forms an arc (also known as a parabola). When the basketball reaches it's highest point, what is that point called?

• Minimum value
• Slope
• Maximum value
• A parabola

Tags

CCSS.HSA.REI.B.4

CCSS.HSG.GPE.A.2

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 dolphin jumps from the water at at initial velocity of 16 feet per second. The equation h = -8t² + 16t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps?

• 1 foot

• 5 feet

• 7 feet

• 8 feet

• 12 feet

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

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

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

A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation h=-16t² + 90t gives the height h of the ball after t seconds.
How many seconds will it take the ball to hit the ground?

• 126.56 ft
• 5.625 sec
• 2.81 sec
• 0 ft

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4