Solving Real World Problems on a Quadratic Graph

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 was the maximum height the rocket reached?

• 25 feet

• 45 feet

• 65 feet

• 85 feet

• 3 seconds

• 46 seconds

• 5 seconds

• 10 seconds

• 24 feet

• 9 feet

• 46 feet

• 34 feet

• 14 feet

• 17 feet

• 19 feet

• 22 feet

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

Mathematical Equivalence

OFF

If each mark on the x-axis represents one second, when did the object reach the ground?

• 2.5 seconds

• 6 seconds

• 5.5 seconds

• 5 seconds

Mathematical Equivalence

ON

Mathematical Equivalence

ON

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?

Tags

CCSS.HSF.IF.B.4

Use the graph to determine the solutions.

• -1 and -3

• 1 and -3

• 1 and 3

• -1 and 3