Discuss a graph of function is symmetric


Discuss the below:

Q1: 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

Q2: The reflection of the point (-5, 6) across the x-axis has coordinates:

Q3: Suppose f(2) = 8. Find another function value, if the graph of this function is symmetric with respect to the origin.

Q4: Suppose f(5) = -2. Find another function value, if the graph of this function is symmetric with respect to the y-axis.

Q5: Describe how the graph of y = 2(x-1) - 4 compares to the graph of y = x

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Mathematics: Discuss a graph of function is symmetric
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