A2.F.1.b: Write the equation of a square root, cube root, rational, exponential, and logarithmic function, given a graph, using transformations of the parent function, including 𝑓(π‘₯) + π‘˜; 𝑓(π‘˜π‘₯); 𝑓(π‘₯ + π‘˜); and π‘˜π‘“(π‘₯), where π‘˜ is limited to rational values. Transformations of exponential and logarithmic functions, given a graph, should be limited to a single transformation.

Write the equation of a square root, cube root, rational, exponential, and logarithmic function, given a graph, using transformations of the parent function, including 𝑓(π‘₯) + π‘˜; 𝑓(π‘˜π‘₯); 𝑓(π‘₯ + π‘˜); and π‘˜π‘“(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?
The graph of is reflected across the y-axis only.

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?
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