See Spot Run - 2

Geometry Level 2

Which of these is the graph of ( x + 4 ) 2 + ( y − 1 ) 2 ≥ 16 (x+4)^2 + (y - 1)^2 \geq 16 ?

C A D B

Matilda Belanno by Matilda Belanno , 40, USA

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1 solution

Andy Wong
Oct 8, 2015

The equation, fortunately is put into a circle's standard form, or ( x − h ) 2 + ( y − k ) 2 = r 2 { (x-h) }^{ 2 }\quad +\quad { (y-k) }^{ 2 }\quad =\quad { r }^{ 2 } . If (h, k) is the center, then it would be (-4, 1) in this equation. Therefore, the answer can only be A or C. If you plug 1 in for both x and y, you find that they produce a result of 25, which is greater than 16. Since the point (1, 1) is shaded in C, you can determine that C is the answer.

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