Determine the two equations necessary to graph the horizontal parabola using a graphing calculator.
-$$x = 2 y ^ { 2 } + 8$$
A) $y = \frac { \sqrt { x - 8 } } { \sqrt { 2 } }$ and $y = - \frac { \sqrt { x - 8 } } { \sqrt { 2 } }$
B) $y = \frac { \sqrt { x - 8 } } { 2 }$ and $y = - \frac { \sqrt { x - 8 } } { 2 }$
C) $y = \sqrt { \frac { x } { 2 } - 8 }$ and $y = - \sqrt { \frac { x } { 2 } - 8 }$
D) $y = \frac { \sqrt { x - 8 } } { \sqrt { 2 } }$ and $y = \frac { \sqrt { 8 - x } } { \sqrt { 2 } }$

Question

Quizplus · Accepted Answer

To graph the given horizontal parabola $x = 2y^2 + 8$ on a graphing calculator, we need to solve for $y$ in terms of $x$. Isolating $y$, we get $y^2 = \frac{x - 8}{2}$, which leads to $y = \pm \sqrt{\frac{x - 8}{2}}$. This simplifies to $y = \pm \frac{\sqrt{x - 8}}{\sqrt{2}}$, matching choice A.

Determine the Two Equations Necessary to Graph the Horizontal Parabola x=2y2+8x = 2 y ^ { 2 } + 8x=2y2+8

Determine the Two Equations Necessary to Graph the Horizontal Parabola $x = 2 y ^ { 2 } + 8$