Respuesta :

wegnerkolmp2741o

Answer:

B   ±sqrt((y-k)/a ) + h= x

Step-by-step explanation:

y=a(x-h)^2+k

Subtract k from each side

y-k = a(x-h)^2+k-k

y-k = a(x-h)^2

Divide by a

(y-k)/a = a(x-h)^2/a

(y-k)/a = (x-h)^2

Take the square root of each side

±sqrt((y-k)/a )= sqrt((x-h)^2)

±sqrt((y-k)/a )= (x-h)

Add h to each side

±sqrt((y-k)/a ) + h= (x-h+h)

±sqrt((y-k)/a ) + h= x

Answer:

B

Step-by-step explanation:

isolate the factor with x in it

subtract k from both sides

a(x - h)² = y - k ( divide both sides by a )

(x - h)² = [tex]\frac{y-k}{a}[/tex] ( take the square root of both sides )

x - h = ± [tex]\sqrt{\frac{y-k}{a} }[/tex]

finally add h to both sides

x = ± [tex]\sqrt{\frac{y-k}{a} }[/tex] + h → B



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