Match the graph with its equation.

A) $x ^ { 2 } = 4 y$
B) $y ^ { 2 } = 4 x$
C) $y ^ { 2 } = \frac { x } { 4 }$
D) $x ^ { 2 } = \frac { y } { 4 }$
E) $( y + 1 ) ^ { 2 } = 4 ( x - 2 )$

Question

Match the graph with its equation.

A) $x ^ { 2 } = 4 y$ 
B) $y ^ { 2 } = 4 x$ 
C) $y ^ { 2 } = \frac { x } { 4 }$ 
D) $x ^ { 2 } = \frac { y } { 4 }$ 
E) $( y + 1 ) ^ { 2 } = 4 ( x - 2 )$

Quizplus · Accepted Answer

The graph is a parabola opening to the right, which suggests that the equation is in the form of $y^2=4ax$ where a is positive. This is true only for option B, where $a=1$ and the vertex is at the origin.

Match the Graph with Its Equation x2=4yx ^ { 2 } = 4 yx2=4y

Match the Graph with Its Equation $x ^ { 2 } = 4 y$