Determine the two equations necessary to graph the horizontal parabola using a graphing calculator.
-$$\mathrm { x } = 2 \mathrm { y } ^ { 2 } - 7 \mathrm { y } + 3$$
A) $y = \frac { 7 - \sqrt { 8 x - - 25 } } { 2 }$ and $y = - \frac { 7 + \sqrt { 8 x - - 25 } } { 2 }$
B) $y = \frac { 7 - \sqrt { 8 x - - 25 } } { 4 }$ and $y = \frac { 7 + \sqrt { 8 x - - 25 } } { 4 }$
C) $y = \sqrt { \frac { x - 3 } { - 7 } }$ and $y = - \sqrt { \frac { x - 3 } { - 7 } }$
D) $y = \frac { \sqrt { x - 3 } } { - 7 }$ and $y = - \frac { \sqrt { x - 3 } } { - 7 }$

Question

Quizplus · Accepted Answer

The given equation is a quadratic in terms of y. To solve for y, use the quadratic formula: $y = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$. Here, $a = 2$, $b = -7$, and $c = 3 - x$. Solving gives the equations in choice B.

Determine the Two Equations Necessary to Graph the Horizontal Parabola x=2y2−7y+3\mathrm { x } = 2 \mathrm { y } ^ { 2 } - 7 \mathrm { y } + 3x=2y2−7y+3

Determine the Two Equations Necessary to Graph the Horizontal Parabola $\mathrm { x } = 2 \mathrm { y } ^ { 2 } - 7 \mathrm { y } + 3$