Question

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

Answer 1

B

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 =
`(y-k)/(a)` ( take the square root of both sides )

x - h = ±
`\sqrt{(y-k)/(a) }`

finally add h to both sides

x = ±
`\sqrt{(y-k)/(a) }` + h → B

Answer 2

B ±sqrt((y-k)/a ) + h= x

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