Modeling with Quadratic Functions

Ceiran wants to know when his model rocket will HIT THE GROUND.

When looking at the model on the calculator, which should he find?

• x-value at the vertex

• y-value at the vertex

• where the curve hits the x-axis (positive x-intercept)

Tyler wants to know HOW HIGH the soccer ball will get if he kicks it straight up in the air.

When looking at the model on the calculator, which value should we find?

• x-value at the vertex

• y-value at the vertex

• where the curve hits the x-axis (positive x-intercept)

Neha 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 should she look for?

• x-value at the vertex

• y-value at the vertex

• where the curve hits the x-axis (positive x-intercept)

Which is the best estimate for when the football hits the ground?

• 0.5 seconds

• 4.0 seconds

• 1.5 seconds

• 2.7 seconds

Which best describes the HEIGHT of the football at 2 seconds?

• 10 feet

• 22 feet

• 6 feet

• 31 feet

Whats the vertex and what does it mean?

• At 1.4 seconds the football is at a maximum height of 31 ft

• At 31 seconds the football is at a maximum height of 1.4 ft

• The ball is at its maximum height at 2.7 seconds

• The hits the ground at 1.4 seconds.

What does the Y-INTERCEPT and what does it mean?

• The ball is thrown from an initial height of 1.4 feet.

• The ball reaches a maximum height of 6 feet.

• The ball hits the ground at 6 seconds.

• The ball is thrown form an initial height of 6 feet.

How long was the rocket in the air?

• 3 seconds

• 5 seconds

• 9 seconds

• 6 seconds

The pathway of an arrow can be represented by the equation h = -16t² + 80t + 25, where h is the height in feet and t is the time in seconds. What is the maximum height?

• h = 125 feet

• h = 80 feet

• h = 95 feet

• h = 140 feet

Charlie shoots a basketball from a height of 6 feet with an initial upward velocity of 18 feet per second. How long will it take the ball to hit the floor if it doesn't hit the basket?

• 1.39 seconds

• 0.6 seconds

• 6 second

• 11 seconds