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:
`((x-h)^(2))/(a^(2)) +((y-k)^(2))/(b^(2))=1`

Answer:
`(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