Quadratic Graph Applications

You are trying to throw a ball over a wire that is 40 feet above the ground.  The height of the ball is modeled by the equation h(t) = -16t² + 48t.  How many seconds will it take to clear the wire?

• 1 sec
• 1.5 sec
• 2 sec
• It won't clear the wire

Teresa throws a baton in the air. The baton reaches a height which is modeled by the function f(x) = -16x² +48x, where x represents time, in seconds, and f(x) represents the height of the baton in feet. How many seconds will it take the baton to return to Teresa?

• 0 seconds
• 1 seconds 
• 2 seconds
• 3 seconds

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 equation for the axis of symmetry?

• y = 3
• x = 3
• y = 145
• x = 145

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

Ed hits a shot off the tee that has a height modeled by the function f(t) = -16t² + 112t.  What's the maximum height of the ball?

• 192 feet
• 196 feet
• 224 feet
• 112 feet

Ed hits a shot off the tee that has a height modeled by the function f(t) = -16t² + 112t.  How long does it take for the ball to reach its maximum height?

• 3 seconds
• 3.5 seconds
• 7 seconds
• 196 seconds

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

Ed hits a shot off the tee that has a height modeled by the velocity function f(t) = -16t² + 112t.  What is the other time that the ball is at the same height as when it is at 1 second?

• 4 seconds
• 5 seconds
• 6 seconds
• 7 seconds

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

• 0 ≤ t ≤ 7
• 0 ≤ f(t) ≤ 7
• 0 ≤ t ≤ 196
• 0 ≤ f(t) ≤ 196

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

• 0 ≤ t ≤ 7
• 0 ≤ f(t) ≤ 7
• 0 ≤ t ≤ 196
• 0 ≤ f(t) ≤ 196