Find the equation of the parabola so that its graph matches the description. $( y - 5 ) ^ { 2 } = 2 ( x + 1 )$ ; upper half of parabola

A) $x = \sqrt { 2 ( y + 1 ) } + 5$
B) $x = - \sqrt { 2 ( y + 1 ) } + 5$
C) $y = \sqrt { 2 ( x - 1 ) } + 5$
D) $y = \sqrt { 2 ( x + 1 ) } + 5$
E) $y = - \sqrt { 2 ( x + 1 ) } + 5$

Question

Find the equation of the parabola so that its graph matches the description.  $( y - 5 ) ^ { 2 } = 2 ( x + 1 )$ ; upper half of parabola

A) $x = \sqrt { 2 ( y + 1 ) } + 5$
B) $x = - \sqrt { 2 ( y + 1 ) } + 5$
C) $y = \sqrt { 2 ( x - 1 ) } + 5$
D) $y = \sqrt { 2 ( x + 1 ) } + 5$
E) $y = - \sqrt { 2 ( x + 1 ) } + 5$

Quizplus · Accepted Answer

The given equation $( y - 5 ) ^ { 2 } = 2 ( x + 1 )$ represents a parabola that opens to the right. To find the upper half, solve for $y$: $y = \sqrt{2(x + 1)} + 5$.

Find the Equation of the Parabola So That Its Graph (y−5)2=2(x+1)( y - 5 ) ^ { 2 } = 2 ( x + 1 )(y−5)2=2(x+1)

Find the Equation of the Parabola So That Its Graph $( y - 5 ) ^ { 2 } = 2 ( x + 1 )$