Quadratic Geometric Applications

What are the green dots called?

• axis of symmetry
• vertex
• parabola
• roots or x-intercepts

Tags

CCSS.HSF-IF.C.7A

What is the green dot on the parabola called?

• maximum
• minumum
• roots
• zeros

Tags

CCSS.HSF-IF.C.7A

In the equation
y = x² +5x +7, match each leading coefficient with its correct letter 

• a=0, b=5, c=7
• a=1, b=5, c=7
• a=7, b=5, c=1

A diver is standing on a platform above the pool. He jumps form the platform with an initial upward velocity of 8 ft/s. Use the formula: h(t) = −16 t² + 8t + 24

How high is the platform?

• .25 ft

• 24 ft

• 25 ft

• 8 ft

If each mark on the x-axis represents one second, when did the object reach the ground?

• 2.5 seconds

• 6 seconds

• 5.5 seconds

• 5 seconds

The quadratic equation 0 = -16t² + 80t gives the time t in seconds when a golf ball is at a height of 0 feet. How do you find how long the golf ball is in the air?

• find the y -coordinate of the maximum

• find the x-coordinate of the maximum

• find the solution

• find the zero

• Use the table to find the y-intercept

The quadratic equation 0 = -16t² + 80t gives the time t in seconds when a golf ball is at a height of 0 feet. How do you find how many seconds until the ball is at its maximum height?

• Find the x-coordinate of the maximum

• find the y-coordinate of the maximum

• find the zero

• Use the table to find the y-intercept

• find the x-intercept

The height of a flare can be approximated by the function h = -16t² + 96t, where h is the height if feet and t is the time in seconds. Which characteristic of the graph will find how high the flare flies.

• x-coordinate of the maximum

• y-coordinate of the maximum

• the x-intercept

• the y-intercept

• the zero

For a scene in a movie, a sack of money is dropped from the roof of a 600 foot skyscraper. The height of the sack above the ground is given by h = -16t² + 600, where t is the time in seconds. What does the y-intercept on the graph represent?

• The starting height of the sack

• The time it took the sack to hit the ground

• The maximum height of the sack

• The starting time the sack was dropped.

The solutions of a quadratic equation are known as the _____.

• Vertices
• Roots
• Squares
• Formulas