Quadratic Equation in Context

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 long until the dolphin is back in the water?

Mathematical Equivalence

ON

Your nephew is standing on his deck, which is 4 feet off the ground. He tosses his toy up into the air. The equation h = -2t^2 + 7t + 4 models the toy's height, h, from the ground at t seconds after he threw it. How high does he throw the toy?

Mathematical Equivalence

ON

The function f(t) = -5t²+20t + 60 models the approximate height of an object t seconds after it is launched. How high above the ground does the object start? 

Mathematical Equivalence

ON

The height of a water balloon that is launched into the air is given by h(t) = -5x²+20x+25. When will the balloon explode on the ground?

Mathematical Equivalence

ON

The height of a water balloon that is launched into the air is given by h(t) = -5t² + 20t + 25. From what height was the balloon launched?

Mathematical Equivalence

ON

This parabola has (a)   zeros. 

• 3

• 2

• 0

• 1

Tags

CCSS.HSF-IF.C.7A

Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation: h = -16t^2 + 80 About how long did it take for the balloon to hit the ground?

• 1.73 seconds

• 2.24 seconds

• 2.45 seconds

• 2.83 seconds

Write an equation in Intercept Form Form, whose solutions are 7 and 3.

• y = (x - 7)(x - 3)

• y = (x + 7)(x + 3)

• y = (x + 7)(x - 3)

• y = (x - 7)(x + 3)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

The height of a water balloon that is launched into the air is given by h(t) = -5x²+20x+25. What is the maximum height of the ball? What are you solving for?

• y-value of the vertex

• solutions

• y-intercept

• axis of symmetry

Write the equation of the quadratic function in Intercept Form using the x-intercepts and ANY point on the graph.. Remember: Intercept form is written as y = a(x-p)(x-q)

• y = (x - 1)(x + 3)

• y = (x + 1)(x - 3)

• y = 2(x + 1)(x - 3)

• y = 2(x - 1)(x + 3)