The center and the radius of the new circle are (h, k) = (- 13, - 8) and r = 14.
What are the center and the radius of the new circle?
According to the image set aside, we get the equation of a circle in standard form, whose features are summarized in the following equation shown below:
(x - h)² + (y - k)² = r² (1)
Where:
- (h, k) - Coordinates of the center.
- r - Radius of the circle.
The coordinates of the new center is obtained by apply the translation formula:
(h, k) = (- 10, - 8) + (- 3, 0)
(h, k) = (- 13, - 8)
And the radius is enlarged by dilation:
r = 7 · 2
r = 14
Therefore, the center and the radius of the new circle are (h, k) = (- 13, - 8) and r = 14.
To learn more on circles: https://brainly.com/question/11833983
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