Modeling with Quadratic Functions

A kid launches a rock off of a cliff. The height of the rock after t seconds can be modeled by the graph shown. How long does it take the rock to reach its maximum height?

• 1.094 seconds

• 174.141 seconds

• 155 seconds

• 4.393 seconds

• None of the above

A projectile bottle rocket is launched in the air. How long did it take the bottle rocket to reach its maximum altitude?

• 3 seconds

• 6.8 seconds

• 50 seconds

• 200 seconds

Find the quadratic function passing through the points (0, -3), (1, 2), and (2, -1).

• y = - x² + 2x - 3

• y = x² - 2x + 3

• y = x² - 3

• y = - 4x² +9x - 3

Y = ax² + bx + c is called the ______________ form of a quadratic equation.

• Vertex

• Intercept

• Standard

• Usual

Jack is throwing a baseball. What is the highest in the air the ball will get?

• y-intercept

• vertex

• plug in a value for x

• x-intercept

A projectile bottle rocket is launched in the air. What is the highest altitude of the projectile?

• 7 ft

• 500 ft

• 200 ft

• 350 ft

A projectile bottle rocket is launched in the air. How long does it take the projectile to reach the ground?

• 5.2 seconds

• 6.8 seconds

• 7 seconds

• 3 seconds

A toy rocket is launched from the top of a 48-foot hill. The rocket's height, h(x), is modeled by the

equation h(x) = -16x² + 32x +48 after x seconds. How high was the rocket at 2 seconds?

• 3

• 32

• 48

• 64

• 100

A dolphin jumps from the water at at initial velocity of 16 feet per second. The equation h = -8t² + 16t models the dolphin's height at any given time, t. How high will the dolphin be after 1 second?

• 1 foot

• 5 feet

• 7 feet

• 8 feet

• 12 feet

A projectile bottle rocket is launched in the air. From what height was the bottle rocket launched?

• 200 feet

• 6.8 feet

• 3 feet

• 50 feet