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 sideways parabola opening to the right, which is the characteristic shape of the equation of a horizontal parabola in which the variable corresponding to the independent axis is squared. The equation that represents this graph is y^2 = 4x.

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

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