Write the equation of a square root, cube root, rational, exponential, and logarithmic function, given a graph, using transformations of the parent function, including π(π₯) + π; π(ππ₯); π(π₯ + π); and ππ(π₯), where π is limited to rational values. Transformations of exponential and logarithmic functions, given a graph, should be limited to a single transformation.
Example Problems
The graph of is shifted to the left by 5 units.
What is the equation of the new graph?
What is the equation of the new graph?
The graph of is reflected across the y-axis only.
What is the equation of the new graph?
What is the equation of the new graph?
The graph of is shifted up by 4 units.
What is the equation of the new graph?
What is the equation of the new graph?
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