Question

what is the rule for the quadratic relation the results from transform y=x^2 by a dilation with the factor 3

Answer 1

[AI-generated answer — Explain Bot]

To understand the rule for the quadratic relation resulting from transforming y = x^2 by a dilation with the factor 3, let's break it down:

1. Start with the original quadratic equation: y = x^2.
2. To apply a dilation with a factor of 3, multiply the x-values by 3. This will stretch the graph horizontally.
- The dilation factor affects the x-values; in this case, we multiply x by 3.
- The y-values remain the same.
- Therefore, the equation becomes: y = (3x)^2.

Simplifying the equation further:
- Expanding the squared term, we get: y = 9x^2.

This is the rule for the quadratic relation resulting from transforming y = x^2 by a dilation with the factor 3.