Interpret Quadratic Graphs

How long did it take for the tennis ball to hit the ground?

• 3 feet

• 12 feet

• 1.5 seconds

• 3 seconds

What is the greatest height the rocket reaches?

• 250 feet

• 240 feet

• 260 feet

• 260 seconds

At 2 seconds is the rocket going up or down?

• up

• down

The math club launched a rocket and recorded its height and distance travelled. At what height did they start shooting it from?

• 4 feet

• 8 feet

• 10 feet

• 14 feet

A company graphed the revenue (profit) based on selling price of their item. If the items were $62, how much revenue would they have?

• $0

• $31.80

• $62

• $2,528,100

What is the highest point over the water?

• 8 meters

• 1 meter

• 1 second

• 8 seconds

What is the minimum of this graph?

• (-2,6)

• (-0.5,-3.5)

• (-1,-3)

• (3,0)

Answer explanation

The minimum of the graph occurs at the point (-0.5,-3.5), where the y-value is the lowest compared to the other options. This indicates that (-0.5,-3.5) is the correct answer.

What are the zeros of the function? Choose all that apply.

• x = 0

• x = -3

• x = -6

• y = 18

Answer explanation

The zeros of a function are the values of x that make the function equal to zero. Here, x = 0 and x = -6 are correct because they satisfy this condition, while x = -3 and y = 18 do not.

A ball is thrown into the air with a speed of 32 feet per second. The function $ h = 32t - 16t^2 $ models the height of the ball after t seconds. How many seconds does it take for the ball to reach its maximum height?

• 0.75 seconds

• 1 second

• 2 seconds

• 4 seconds

Answer explanation

To find the maximum height, we use the vertex formula for a quadratic function. The time at maximum height is given by t = -b/(2a). Here, a = -16 and b = 32, so t = 32/(2*16) = 1 second. Thus, the ball reaches its maximum height at 1 second.

How long did it take the rocket to reach its maximum height?

Answer explanation

The rocket reaches its maximum height at the peak of its flight. The time taken to reach this point is typically measured in seconds. In this case, the correct answer is 0 seconds, indicating an immediate ascent to maximum height.