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
***************************************
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
***************************************
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
***************************************
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: [tex]\frac{(x-h)^{2}}{a^{2}} +\frac{(y-k)^{2}}{b^{2}}=1[/tex]
Answer: [tex]\frac{x^{2}}{9} +(y+2)^{2}=1[/tex]
***************************************
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
