Determine the two equations necessary to graph the horizontal parabola using a graphing calculator.
-$x - 2 = ( y - 8 ) ^ { 2 }$
A) $y = \sqrt { x - 2 } + 8$ and $y = 8 - \sqrt { x - 2 }$
B) $y = \sqrt { x - 2 } + 8$ and $y = - \sqrt { x + 2 } - 8$
C) $y = \sqrt { x - 2 } + 8$ and $y = 8 - \sqrt { x + 2 }$
D) $y = \sqrt { x + 62 }$ and $y = - \sqrt { x - 66 }$

Question

Quizplus · Accepted Answer

To graph a horizontal parabola given by $x - 2 = (y - 8)^2$, we solve for $y$ to get two equations, one for the upper half and one for the lower half of the parabola. Solving $x - 2 = (y - 8)^2$ for $y$ gives $y = \sqrt{x - 2} + 8$ and $y = 8 - \sqrt{x - 2}$, which correspond to the upper and lower halves, respectively.

Determine the Two Equations Necessary to Graph the Horizontal Parabola x−2=(y−8)2x - 2 = ( y - 8 ) ^ { 2 }x−2=(y−8)2

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