Solve for x:
(x - H)^2 + K = 0
x = {} or x = {}
Add abs( K ) to both sides so we can start isolating x on the left:
\qquad (x - H)^2 = -K
Take the square root of both sides to get rid of the exponent.
\qquad \sqrt{(x - H)^2} = \pm \sqrt{-K}
Be sure to consider both positive and negative CONSTANT, since squaring either one results
in -K.
\qquad x - H = \pm CONSTANT
Add abs( H ) to both sides to isolate x on the left:
Subtract abs( H ) from both sides to isolate x on the left:
\qquad x = H \pm CONSTANT
Add and subtract CONSTANT to find the two possible solutions:
\qquad x = H + CONSTANT \quad \text{OR_TEXT} \quad x = H - CONSTANT
Determine where f(x) intersects the x-axis.
f(x) = (x - H)^2 + K
The function intersects the x-axis where f(x) = 0, so solve the equation:
\qquad (x - H)^2 + K = 0