Find the equation of the parabola so that its graph matches the description. $( y + 2 ) ^ { 2 } = 3 ( x - 7 )$ ; lower half of parabola

A) $y = - 2 + \sqrt { 3 ( x - 7 ) }$
B) $y = - 2 - \sqrt { 3 ( x - 7 ) }$
C) $x = - 2 + \sqrt { 3 ( y - 7 ) }$
D) $x = - 2 - \sqrt { 3 ( y - 7 ) }$
E) $x = - 2 + \sqrt { 3 ( y + 7 ) }$

Question

Find the equation of the parabola so that its graph matches the description.  $( y + 2 ) ^ { 2 } = 3 ( x - 7 )$ ; lower half of parabola

A) $y = - 2 + \sqrt { 3 ( x - 7 ) }$
B) $y = - 2 - \sqrt { 3 ( x - 7 ) }$
C) $x = - 2 + \sqrt { 3 ( y - 7 ) }$
D) $x = - 2 - \sqrt { 3 ( y - 7 ) }$
E) $x = - 2 + \sqrt { 3 ( y + 7 ) }$

Quizplus · Accepted Answer

The given equation $( y + 2 ) ^ { 2 } = 3 ( x - 7 )$ represents a parabola that opens to the right. To find the equation for the lower half, solve for $y$ to get $y = -2 - \sqrt{3(x - 7)}$, which matches choice B.

Find the Equation of the Parabola So That Its Graph (y+2)2=3(x−7)( y + 2 ) ^ { 2 } = 3 ( x - 7 )(y+2)2=3(x−7)

Find the Equation of the Parabola So That Its Graph $( y + 2 ) ^ { 2 } = 3 ( x - 7 )$