Question

Think about the graphs of the equations in the following system.

x2+ y2 = 2
y = 2x2 – 3
Which of the following describes the system?

circle with its center at (0, 0) and a radius of mc001-1.jpg; parabola opening up with its vertex at (0, –3)

circle with its center at (0, 0) and a radius of mc001-2.jpg; parabola opening up with its vertex at (0, 3)

circle with its center at (0, 0) and a radius of 2; parabola opening up with its vertex at (0, –3)

circle with its center at (0, 0) and a radius of 2; parabola opening up with its vertex at (0, 3)

Answer 1

x^2 + y^2 = 2 is a circle centered at (0,0) with radius sqrt(2).
y = 2x^2 − 3 is a parabola opening upward with vertex at (0, −3).

So the first option (radius = √2; vertex at (0, −3)) is correct.