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Algebra I.4.A.08 - Exploring the Symmetry in Graphs of Quadratic Functions - Exit Ticket

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1.

If possible, find the equation for the axis of symmetry for the graph of a quadratic function with the given pair of coordinates. (3,10) (15,10)

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2.

If it is possible, find the equation. If it is not possible, explain why.

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3.

Is it possible find the equation for the axis of symmetry for the graph of a quadratic function with the given pair of coordinates. (–2,6) (6,4)

From EngageNY.org of the New York State Education Department. Grade HS1 Algebra Module 4, Topic A, Lesson 8 Internet. Available from https://www.engageny.org/resource/algebra-i-module...; accessed 03/Nov/2015.
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4.

Find the interval on which the rate of change is always positive.

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5.

If it is possible, find the equation. If it is not possible, explain why.

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6.

The point (4, −2) is the vertex of the graph of a quadratic function.The points (8, 6) and (2, 0) also fall on the graph of the function. Complete the graph of this quadratic function by first finding two additional points on the graph. (If needed, make a table of values on your own paper.)

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7.

Find the y-intercept on the graph above.

use this format: (x,y)
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8.

Find the x-intercept(s) on the graph above.

use this format: (x,y)
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9.

What is the sign of the leading coefficient for this quadratic function?Explain how you know.