Quadratic Graphs in Context

What key feature tells the initial height of the roller coaster?

• y-intercept

• root

• axis of symmetry

• vertex

When did the water reach its maximum height?

Choose the best answer.

• 2 seconds

• 9 seconds

• 0 seconds

• 3.8 seconds

This graph shows the height of a soccer ball in feet over time in seconds. Which statement is true?

• The soccer ball hits the ground again at 6 seconds.

• The soccer ball reaches a minimum point at 3 seconds.

• The soccer ball starts at a height of 4 feet.

• The soccer ball stays on the ground the whole time.

This graph shows the height of a rocket after launch over time in seconds. Identify the vertex and explain what it represents in context of this word problem.

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Use the graph to determine the roots.

• x = -1 and x = -3

• x = 1 and x = 3

• 1, 3

• x = 2 and x = 1

Which statement about the graph is FALSE?

• The vertex is (-3, 18)

• The vertex is a maximum

• The y-intercept is y = 0

• The axis of symmetry is y = -3

Edgar thinks that the roots of this quadratic graph are at x = -2 and x = 0. Explain his misunderstanding.

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Using vocabulary, describe one similarity between the two quadratic graphs shown.

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A baseball is hit into the air. The height of the baseball, in feet, as a function of time, in seconds, is represented in the graph. In the context of the problem, what is the meaning of (5, 246)?

• The maximum height is 246 feet.

• After 246 seconds, the baseball is 5 feet in the air.

• After 5 seconds, the baseball is 246 feet in the air.

• The baseball hits the ground at 5 seconds.

How high was the ball when it was initially (first) thrown? Choose the best answer.

• 0 feet because this is the y-intercept.

• 3 feet because this is the y-intercept.

• 4 seconds because this is the axis of symmetry.

• 5 feet because this is the y-value of the vertex (highest point).