Match each equation on the left with the appropriate description of its graph on the right.
-$(y+1)^{2}+x=2$
A) Circle; center $(2,-1)$; radius 3
B) Hyperbola; center $(2,1)$
C) Parabola; opens left
D) Circle; center $(-2,1)$; radius 3
E) Parabola; opens downward
F) Ellipse; center $(2,1)$

Question

Quizplus · Accepted Answer

This equation is in the form $(y-k)^2 = 4p(x-h)$, which represents a parabola. Since $x$ is isolated on one side and there's a square on the $y$ term, it opens either left or right. Given that the equation is not solved for $x$ in terms of $y$, but rather $x$ is on the left side, indicating that the parabola opens left.

Match Each Equation on the Left with the Appropriate Description (y+1)2+x=2(y+1)^{2}+x=2(y+1)2+x=2

Match Each Equation on the Left with the Appropriate Description $(y+1)^{2}+x=2$