Question

Q9: Identify the graph of the equation and write an equation of the translated or rotated graph in general form. (Picture Provided Below)

Answer 1

D. Circle; (x²) + (y²)-4=0

Explanation

Simplify the equation by dividing both sides by 2

2x² + 2y² =8

x² + y² =4

this gives a circle form where we can apply (x-h) ² +(y-k)² =r² to find center and radius of the circle.

Thus r=2, h=0, k=0

Center of circle is at (h, k), (0,0)

Radius of circle is 2