Sketch the graph of the equation. $$x = \frac { 1 } { 3 } y ^ { 2 }$$

Name: Sketch the graph of the equation. \[x = \frac { 1 } { 3 } y ^ { 2 }\]
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Question

Quizplus · Accepted Answer

We can write the equation as $y^2=3x$, which is a parabola that opens to the right. The vertex is at $(0,0)$ and the axis of symmetry is the $y$-axis. As $x$ increases, $y$ also increases, but at a decreasing rate, so the curve becomes steeper and steeper. Therefore, the graph closest to this description is $\boxed{	extbf{(B)}}$.

Sketch the Graph of the Equation x=13y2x = \frac { 1 } { 3 } y ^ { 2 }x=31​y2

Sketch the Graph of the Equation $x = \frac { 1 } { 3 } y ^ { 2 }$