Question

question 15

what is the transformation described in the function \\(y = 2^{x-1} + 3\\)?

right 1; down 3
right 1; up 3
left 1; down 3
left 1; up 3

Explanation:

Identify the parent function

Using the Parent Functions knowledge point

$$ y = 2^x $$

Analyze the horizontal shift

Using the Function Transformations and Exponential Transformations knowledge points

$$
LATEXBLOCK0
$$

Analyze the vertical shift

Using the Function Transformations and Exponential Transformations knowledge points

$$
LATEXBLOCK1
$$

Combine the transformations

Using the Function Transformations knowledge point

$$ \text{The total transformation is: Right 1; Up 3.} $$

Answer:

• Right 1; Down 3
• Right 1; Up 3 (Correct answer)
• Left 1; Down 3
• Left 1; Up 3