Question

Use the plot of the point $\left(x_{0}, y_{0}\right)$ in the figure. Match the transformation of the point with the correct plot. Explain your reasoning. [The plots are labeled (i), (ii), (iii), and (iv).] (a) $\left(x_{0}, y_{0}\right)$ (b) $\left(-2 x_{0}, y_{0}\right)$ (c) $\left(x_{0}, \frac{1}{2} y_{0}\right)$ (d) $\left(-x_{0},-y_{0}\right)$

          Use the plot of the point $\left(x_{0}, y_{0}\right)$ in the figure. Match the transformation of the point with the correct plot. Explain your reasoning. [The plots are labeled (i), (ii), (iii), and (iv).]
(a) $\left(x_{0}, y_{0}\right)$
(b) $\left(-2 x_{0}, y_{0}\right)$
(c) $\left(x_{0}, \frac{1}{2} y_{0}\right)$
(d) $\left(-x_{0},-y_{0}\right)$

Added by Lourdes P.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Kelsey Holley

08/27/2023

Step 1

(b) $\left(-2 x_{0}, y_{0}\right)$: This transformation reflects the point across the y-axis and stretches it horizontally by a factor of 2. This matches plot (iv), which is a reflection across the y-axis. (c) $\left(x_{0}, \frac{1}{2} y_{0}\right)$: This Show more…

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Use the plot of the point $\left(x_{0}, y_{0}\right)$ in the figure. Match the transformation of the point with the correct plot. Explain your reasoning. [The plots are labeled (i), (ii), (iii), and (iv).] (a) $\left(x_{0}, y_{0}\right)$ (b) $\left(-2 x_{0}, y_{0}\right)$ (c) $\left(x_{0}, \frac{1}{2} y_{0}\right)$ (d) $\left(-x_{0},-y_{0}\right)$