Question

Help needed! Can I get some help with two questions?

Answer 1

Red

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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Blue

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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Green:

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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Purple:

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: $\frac{(x-h)^{2}}{a^{2}} +\frac{(y-k)^{2}}{b^{2}}=1$

Answer: $\frac{x^{2}}{9} +(y+2)^{2}=1$

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Black:

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