Key Features of a Parabola Real World Problems

Is this point a max or min?

• max

• min

What is the equation for axis of symmetry?

• y=3

• x=3

• x=5

• x=1

Tags

CCSS.HSF-IF.C.7A

What is the significance of the ordered pair (2, -4) to the graph?

• It is the vertex

• It is an x-intercept

• It is the y-intercept

• It is the axis of symmetry

Tags

CCSS.HSF-IF.C.7A

Identify the vertex

• (-1,-9)

• (0,-8)

• (-4,0)

• (0,0)

When did the water reach its maximum height? Choose the key feature and the answer.

• x-value of vertex, 2 seconds

• y-value of vertex, 9 seconds

• y-intercept, 0 seconds

• x-intercept, 3.8 seconds

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Tags

CCSS.HSG.GPE.A.2

A satellite dish is shaped like a parabola with the receiver located at the focus. If the dish is 12 feet across at its opening and 4 feet deep, how far from the vertex is the receiver located?

• 1 foot

• 2 feet

• 3 feet

• 4 feet

A bridge is built in the shape of a parabolic arch. The arch is 100 feet wide at its base and 20 feet high at its center. How high is the arch 25 feet away from its center?

• 15 feet

• 16 feet

• 18 feet

• 20 feet

A satellite dish is shaped like a paraboloid. If the dish is 10 feet wide at its opening and 4 feet deep, where is the focus located relative to the vertex?

• 2.5 feet from the vertex, along the axis of symmetry

• 5 feet from the vertex, along the axis of symmetry

• 4 feet from the vertex, along the axis of symmetry

• 10 feet from the vertex, along the axis of symmetry

Find the focus and the directrix.

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