Match each equation on the left with the appropriate description of its graph on the right.
-$(y-1)^{2}+x=3$
A) Ellipse; center $(3,1)$
B) Hyperbola; center $(3,1)$
C) Circle; center $(3,-1)$; radius 4
D) Parabola; opens downward
E) Circle; center $(-3,1)$; radius 4
F) Parabola; opens left

Question

Quizplus · Accepted Answer

The given equation $(y-1)^{2}+x=3$ can be rearranged to $x = (y-1)^2 - 3$, which is a standard form of a parabola that opens to the left because the $y$ variable is squared and the coefficient of $y^2$ is positive.

Match Each Equation on the Left with the Appropriate Description (y−1)2+x=3(y-1)^{2}+x=3(y−1)2+x=3

Match Each Equation on the Left with the Appropriate Description $(y-1)^{2}+x=3$