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How can you use transformations to graph this function?

How can you use transformations to graph this function?-example-1
User Ayton
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1 Answer

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Answer:

Here's what I get

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).

How can you use transformations to graph this function?-example-1
User Technicallynick
by
3.6k points