Answer :
The series of transformations that would map figure W onto figure F:
1. Reflection across the y-axis: This flips the figure horizontally.
2. Stretching by a factor of 2 in the x-direction: This doubles the width of the figure.
3. Dilation with a center at the origin and a scale factor of 0.5: This shrinks the figure down to half its size.
4. Translation 7 units to the right: This moves the figure 7 units to the right.
Here's a breakdown of each step:
Reflection across the y-axis: Imagine drawing a vertical line down the middle of the image. Then, flip everything on the right side of the line over to the left side, and vice versa. This will create a mirror image of figure W.
Stretching by a factor of 2 in the x-direction: Imagine taking the figure you just created and stretching it horizontally by a factor of 2. This will make the figure twice as wide.
Dilation with a center at the origin and a scale factor of 0.5: Imagine shrinking the figure you just created down to half its size, while keeping the origin (the point where the x and y axes meet) as the center of the shrinking. This will make the figure half its original size.
Translation 7 units to the right: Imagine taking the figure you just created and sliding it 7 units to the right. This will move the entire figure 7 units to the right without changing its shape or size.
By performing these four transformations in the order listed, you will map figure W onto figure F.
