Question

Circle G:(x-14)^2+(y+12)^2=49 and Circle H:(x-18)^2+(y-8)^2=196. Describe a complete series of transformation from Circle G to Circle H.

Answer 1

Dilation

Explanation:

The general form of a circle with center at (h, k) and radius r units is given as

(x - h)² + (y - k)² = r²

G is a circle centered at the point (14, -12) with radius 7 units.

G is dilated 4 units to the right on the x-axis, 20 units upwards on the y-axis, and 7 units on the radius to a circle H with center at the point (18, 8) and radius 14 units.

Answer 2

Explanation:

The equation

(x - a)² + (y - b)² = r²

describes a circle of radius r, with center at the point (a, b).

G is a circle of radius 7 units, centered at the point (14, -12).

H is a circle if radius 14 units, centered at the point (18, 8).