Determine the two equations necessary to graph the horizontal parabola using a graphing calculator.
-$x + 3 = ( y + 7 ) ^ { 2 }$
A) $y = \sqrt { x - 4 }$ and $y = - \sqrt { x - 4 }$
B) $y = \sqrt { x + 3 } - 7$ and $y = - \sqrt { x + 3 } - 7$
C) $y = \sqrt { x + 10 }$ and $y = - \sqrt { x + 10 }$
D) $y = \sqrt { x + 3 } - 7$ and $y = - \sqrt { x + 3 } + 7$

Question

Quizplus · Accepted Answer

To graph the given horizontal parabola $x + 3 = (y + 7)^2$, we need to solve for $y$. Taking the square root of both sides gives $y + 7 = \pm\sqrt{x + 3}$, which leads to $y = -7 \pm \sqrt{x + 3}$. This results in two equations: $y = \sqrt{x + 3} - 7$ and $y = -\sqrt{x + 3} - 7$.

Determine the Two Equations Necessary to Graph the Horizontal Parabola x+3=(y+7)2x + 3 = ( y + 7 ) ^ { 2 }x+3=(y+7)2

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