Quadratic Modeling

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

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

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 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

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. 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. From what height was the bottle rocket launched?

• 200 feet

• 6.8 feet

• 3 feet

• 50 feet

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)