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Question

The equation of a circle is given by (x + 3)² + (y + 1)² = 4.

 

Write the new equation of the circle if it is transformed 2 units to the left and 3 units down, then dilated by a scale factor of 4.

(x   _____ _____ )² + (y_______ _______)² = _________

 

Answer 1

Currently centered at -3, -1 with radius 2

Two the left and 3 down moves it to -5, -3 and dilated by scale factor of 4 makes radius 8, so equation becomes:

(x+5)^2 + (y+3)^2 = 64