A circle has its center at (0,0) and passes through the point (0,9). What is the standard equation of the circle?
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Answer:
A reflection in the x-axis and a vertical stretch by a factor of ½.
Step-by-step explanation:
The parent function is f(x).
The transformed function is
The negative sign means a reflection in the x-axis.
The 2 multiplying inside means a horizontal stretch by a factor of
Therefore the transformation, is a reflection in the x-axis and a vertical stretch by a factor of ½.