How can you use transformations to graph this function?
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Answer:
Here's what I get
Step-by-step explanation:
1. Start with the parent function
Start with y = 7ˣ (1, in orange), and apply three successive transformations.
2. Reflect across the y-axis
When you reflect a function across the y-axis, the x values change sign, but the y-values do not.
This gives the graph of y = 7⁻ˣ (2, in red).
3. Shift up two units.
To shift a graph up two units, you add two units to the function.
This gives the graph of y = 7⁻ˣ + 2 (3, in blue).
4. Compress horizontally by a factor of three
Multiplying the x term by three compresses the graph horizontally by one-third.
This gives the graph of y = 3·7⁻ˣ + 2 (4, in black).