Quadratic Models

A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by the equation  $h(t)=-6t^2+6t$   where h is the frog's height at any given time, t. You want to know the time the frog is back on the ground -- what do you need to find on the parabola?

• y-intercept

• x-coordinate of the vertex

• y-coordinate of the vertex

• x-intercept

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

A dolphin jumps from the water. The equation $h\left(t\right)=-8t^2+16t$   models the dolphin's height at any given time, t. You want to know the maximum height the dolphin jumps -- what do you need to find on the parabola?

• y-intercept

• x-coordinate of the vertex

• y-coordinate of the vertex

• x-intercept

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

 You and some friends went to a haunted house on Halloween. The mummy scared one friend so much that she jumped into the air! The equation  $h(t)=-4t^2+2t$  models her jump where h is her height in feet t seconds after the mummy scares her. You want to find when she reached her maximum height -- what do you need to find on the parabola?

• y-intercept

• x-coordinate of the vertex

• y-coordinate of the vertex

• x-intercept

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

A lizard is jumping across the water in search of food. The equation  $h\left(t\right)=-12t^2+6t$   models the lizard's height in feet above the water t seconds after he jumps. If you want to know how long after jumping until he is back on the water -- what do you need to find on the parabola?

• y-intercept

• x-coordinate of the vertex

• y-coordinate of the vertex

• x-intercept

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Your nephew is standing on a deck and tossing his toy up into the air. The equation
 $h\left(t\right)=-2t^2+7t+4$   models the toy's height, h, from the ground at t seconds after he threw it. You want to know how tall the deck is -- what part of the parabola do you need to find?

• y-intercept

• x-coordinate of the vertex

• y-coordinate of the vertex

• x-intercept

Tags

CCSS.HSA.SSE.A.1

Fireworks are fired from the roof of a building. The equation $h\left(t\right)=-16t^2+84t+100$   models the height, h, of the fireworks at any given time, t. You want to  know how high the building is -- what part of the parabola do you need to find?

• y-intercept

• x-coordinate of the vertex

• y-coordinate of the vertex

• x-intercept

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

A golf ball is hit and the equation  $h\left(t\right)=-6t^2+27t$  models the golf ball's height in feet t seconds after the ball was hit. You want to know how long after being hit the ball reaches the maximum height -- what part of the parabola do you need to find?

• y-intercept

• x-coordinate of the vertex

• y-coordinate of the vertex

• x-intercept

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Your friend passes you the ball during a soccer game. The height off the ground is modeled by the equation  $h\left(t\right)=-4t^2+12t$ .  You want to know when the soccer ball will hit the ground -- what part of the parabola do you need to find?

• y-intercept

• x-coordinate of the vertex

• y-coordinate of the vertex

• x-intercept

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

A toy rocket is launched from the top of a hill. The rocket's height, h, is modeled by the equation  $h(x)=-16x^2+32x+48$  after x seconds. You want to find out tall the hill is -- what part of the parabola do you need to find?

• y-intercept

• x-coordinate of the vertex

• y-coordinate of the vertex

• x-intercept

A diver jumps from a platform above a pool. His height above the water is modelec by the formula  $h\left(t\right)=−16t^2+8t+24$ .  You want to know how long it takes him to reach his maximum height -- what part of the parabola do you need to find?

• y-intercept

• x-coordinate of the vertex

• y-coordinate of the vertex

• x-intercept

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7