<u>Red</u>
This is a circle with center (h, k) at (0,0) and radius (r) = 6
Formula: (x - h)² + (y - k)² = r²
Answer: x² + y² = 36
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<u>Blue</u>
This is a circle with center (h, k) at (2,2) and radius (r) = 1
Formula: (x - h)² + (y - k)² = r²
Answer: (x - 2)² + (y - 2)² = 1
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<u>Green:</u>
This is a circle with center (h, k) at (-2,-2) and radius (r) = 1
Formula: (x - h)² + (y - k)² = r²
Answer: (x + 2)² + (y + 2)² = 1
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<u>Purple:</u>
This is an ellipse with center (h, k) at (0,-2) and radius on the x-axis (a) = 3 and radius on the x-axis (b) = 1
Formula: ![\frac{(x-h)^{2}}{a^{2}} +\frac{(y-k)^{2}}{b^{2}}=1](https://tex.z-dn.net/?f=%5Cfrac%7B%28x-h%29%5E%7B2%7D%7D%7Ba%5E%7B2%7D%7D%20%2B%5Cfrac%7B%28y-k%29%5E%7B2%7D%7D%7Bb%5E%7B2%7D%7D%3D1)
Answer: ![\frac{x^{2}}{9} +(y+2)^{2}=1](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7B2%7D%7D%7B9%7D%20%2B%28y%2B2%29%5E%7B2%7D%3D1)
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<u>Black:</u>
This is a parabola with vertex (h, k) at (0,-6) and vertical stretch (a) = -1
Formula: y = a(x - h)² + k
Answer: y = -x² - 6