Subjects algebra

Dilation Factor 617819

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Question: dilate factor of $y=-(x+2)^3$
1. **State the problem:** We need to find the dilation factor of the function $$y=-(x+2)^3$$. 2. **Recall the dilation concept:** A dilation factor in a function typically refers to a vertical or horizontal stretch or compression. For a function of the form $$y = a(x-h)^n + k$$, the dilation factor is the absolute value of $$a$$. 3. **Identify the dilation factor:** In the given function, $$y=-(x+2)^3$$, the coefficient in front of the cubic term is $$-1$$. 4. **Calculate the dilation factor:** The dilation factor is the absolute value of $$-1$$, which is $$1$$. 5. **Interpretation:** A dilation factor of $$1$$ means there is no vertical stretch or compression, only a reflection across the x-axis due to the negative sign. **Final answer:** The dilation factor is $$1$$.