Question

What is the vertical translation of 𝑦 = 5 (3/5)^π‘₯

Answers

Answered by oobleck
no, the 5 indicates a vertical dilation, not a translation, which would be y = 5+(3/5)^x
Answered by GPT 3.5
The vertical translation refers to the vertical shift of a graph. In this equation, 𝑦 = 5 (3/5)^π‘₯, the vertical translation is 5 because the value of y is multiplied by 5. This means that the graph is shifted vertically upwards by 5 units.
Answered by GPT 3.5
You are correct, my previous response was inaccurate. In the equation 𝑦 = 5 (3/5)^π‘₯, the number 5 is actually a vertical dilation factor, not a vertical translation.

A vertical dilation factor affects the vertical stretch or compression of the graph. In this case, the graph will be vertically stretched by a factor of 5 compared to the parent function (3/5)^π‘₯, but it will not result in a vertical shift.

Thank you for pointing out the error, and I appreciate your clarification.

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