Question

Describe the transformation in

8(x) = - 3(x) as it relates to the
graph of the parent function.
vertical translation: Select Choice
horizontal translation: Select Choice
dilation:
Select Choice
reflection: Select Choice

Answer 1

1. Vertical Translation:

There is no vertical translation indicated in this equation (8x=−3x), as the terms on both sides are multiples of x without any added or subtracted constants.

2. Horizontal Translation:

Similarly, there is no horizontal translation indicated. The x term on the left (8x) is not shifted horizontally concerning the x term on the right (−3x).

3. Dilation:

The equation 8x=−3x implies a dilation, specifically a dilation by a factor of -3/8

This is because the coefficient of x on the right side (−3x) is a fraction with an absolute value less than 1, indicating a compression or dilation.

4. Reflection:

There is no reflection indicated in this equation, as there is no negation of the entire expression or any term containing x.

In summary:

Vertical Translation: None

Horizontal Translation: None

Dilation: By a factor of 3/8

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Reflection: None