Quadratic Function review

A ball is thrown into the air from the edge of a 48-foot-high cliff so that it eventually lands on the ground. The graph below shows the height, y, of the ball from the ground after x seconds.

For which interval is the ball's height always decreasing?

• $0\le x\le2.5$

• $0<x<5.5$

• $2.5<x<5.5$

• $x\ge2$

Tags

CCSS.HSF.IF.B.4

Mrs. Martone's 7th grade science class built and launched rockets. The graph below shows the height, in feet, over time, in seconds, of a student's rocket. Use the graph to answer the questions below. How long did it take the rocket to reach its maximum height?

• 1 second

• 5 seconds

• 7 seconds

• 11 seconds

Mrs. Martone's 7th grade science class built and launched rockets. The graph below shows the height, in feet, over time, in seconds, of a student's rocket. Use the graph to answer the questions below. What is the height of the rocket at 5 seconds?

• 30 feet

• 60 feet

• 65 feet

• 70 feet

At the Nets game, an employee shoots a t-shirt out of a cannon. The height of the shirt  based on the number of seconds, , is given by the equation
 $h\left(x\right)=-4x^2+24x+10$  
Part A: What is the starting height of the t-shirt?

• 24 feet

• 10 feet

• -4 feet

• 3 feet

A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by the equation h = -6t² + 6t where h is the frog's height at any given time, t . How many seconds until the frog is back on the ground?

• 0.5 seconds

• 1 second

• 1.5 seconds

• 2 seconds

• 3 seconds

Your nephew is standing on his deck, which is 4 feet off the ground. He tosses his toy up into the air. The equation

h = -2t² + 7t + 4 models the toy's height, h, from the ground at t seconds after he threw it. How high is the toy after 1 second?

• 2

• 4

• 9

• 10

• 15

Jack wants to know how high the soccer ball will get if he kicks it straight up in the air.

Which one are we looking for?

a. x at vertex

b. y at vertex

c. positive zero

• x at vertex

• y at vertex

• positive zero

Lily wants to know how long her toy rocket will be in the air after she lights the fuse to launch it from a 1.5-foot launch pad.

Which one are we looking for?

a. x at vertex

b. y at vertex

c. positive zero

• x at vertex

• y at vertex

• positive zero

Nancy is trying to find how many seconds it will take a golf ball to get to its highest point after being hit on the golf course.

Which one are we looking for?

a. x at vertex

b. y at vertex

c. positive zero

• x at vertex

• y at vertex

• positive zero

Sally threw a ball in the air. Sally’s friend wanted to find out how high the ball got given that it took 1 second to get to its highest point.

Which one are we looking for?

a. x at vertex

b. y at vertex

c. positive zero

• x at vertex

• y at vertex

• positive zero