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# Algebra Description Graphed

Match each description of a graph with an equation. The graphs are all described in relation to the graph y = x^2
shifted 3 units upward
shifted 3 units to the left
shifted 3 units downward
stretched out and flipped upside down
shifted 3 units to the right

A. y = (x - 3)^2
B. y = -3x^2
C. y = x^2 + 3
D. y = (x + 3)^2
E. y = -x^2 - 3
F. y = x^2 - 3

Question 2
The reflection of the point (-5, 6) across the x-axis has coordinates: ____________________

Question 3
Suppose f(2) = 8

Find another function value, if the graph of this function is symmetric with respect to the origin.

Question 4
Suppose f(5) = -2

Find another function value, if the graph of this function is symmetric with respect to the y-axis.

Question 5
Describe how the graph of y = 2(x-1) - 4 compares to the graph of y = x

#### Solution Preview

Please see the attached file.

Algebra
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Match each description of a graph with an equation. The graphs are all described in relation to the graph y = x^2
shifted 3 units upward -----C

shifted 3 units to the left ---D
shifted 3 units downward ----F
stretched out and flipped upside down ---B
shifted 3 units to the ...

#### Solution Summary

The expert matches each description of a graph with an equation. The relation to the graph is determined.

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