The transformation of the equation y=3(2)x−1+4 compared to its parent function involves the following changes:
1. The parent function is y=2x is multiplied by a factor of 3, which results in a vertical stretch by a factor of 3.
2. The entire function is shifted 1 unit to the right due to the -1 in the exponent. This indicates a horizontal shift to the right.
3. The function is then shifted 4 units up due to the +4 at the end of the equation, indicating a vertical shift upward.
Overall, the transformed function is stretched vertically by a factor of 3, shifted 1 unit to the right, and then shifted 4 units up compared to its parent function y=2x.
Describe the transformation of the equation y=3(2)x−1+4 compared to its parent function.
(i.e. Describe the shift left/right, up/down, stretch/compression)
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