Choose the equation that matches the graph.
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A) $x ^ { 2 } = 2 y$
B) $2 y ^ { 2 } = x$
C) $2 x ^ { 2 } = - y$
D) $2 x ^ { 2 } = y$

Question

Choose the equation that matches the graph.
-
A) $x ^ { 2 } = 2 y$ 
B) $2 y ^ { 2 } = x$ 
C) $2 x ^ { 2 } = - y$ 
D) $2 x ^ { 2 } = y$

Quizplus · Accepted Answer

The graph is a parabola that opens upwards, which means it is of the form $y=ax^2$. We can see that it passes through the point $(1,2)$. Plugging this into the equation gives $2=a\cdot1^2$, so $a=2$. Therefore, the equation is $y=2x^2$, which matches choice D.

Choose the Equation That Matches the Graph x2=2yx ^ { 2 } = 2 yx2=2y

Choose the Equation That Matches the Graph $x ^ { 2 } = 2 y$