Why don't you take the original equation for your parabola and calculate the height from there?

You can do this with good ol' calculus by finding the extrema for the equation by calculating all zero-values for the first derivative of your equation within your given range. You can then use the second derivative to determine whether each extremum is a local maximum, a local minimum or an inflection point.

Since you're working with a parabola you'll only find one extremum which will be the x-value for your highest point. Evaluate this x in your original function and you'll get your height.

EDIT:

Easier yet, if your parabola is of the form y = a*x^2 + b, where a < 0 (otherwise you can't find a maximum) then your height is simply the value of b

### Show differencesHistory of post edits

### #2Radikalizm

Posted 23 August 2012 - 05:09 PM

Why don't you take the original equation for your parabola and calculate the height from there?

You can do this with good ol' calculus by finding the extrema for the equation by calculating all zero-values for the first derivative of your equation within your given range. You can then use the second derivative to determine whether each extremum is a local maximum, a local minimum or an inflection point.

Since you're working with a parabola you'll only find one extremum which will be the x-value for your highest point. Evaluate this x in your original function and you'll get your height.

You can do this with good ol' calculus by finding the extrema for the equation by calculating all zero-values for the first derivative of your equation within your given range. You can then use the second derivative to determine whether each extremum is a local maximum, a local minimum or an inflection point.

Since you're working with a parabola you'll only find one extremum which will be the x-value for your highest point. Evaluate this x in your original function and you'll get your height.

### #1Radikalizm

Posted 23 August 2012 - 05:07 PM

Why don't you take the original equation for your parabola and calculate the height from there?

You can do this with good ol' calculus by finding the extrema for the equation by calculating all zero-values for the first derivative of your equation within your given range. You can then use the second derivative to determine whether each extremum is a local maximum, a local minimum or an inflection point.

Since you're working with a parabola you'll only find one extremum which will be your highest point (=height)

You can do this with good ol' calculus by finding the extrema for the equation by calculating all zero-values for the first derivative of your equation within your given range. You can then use the second derivative to determine whether each extremum is a local maximum, a local minimum or an inflection point.

Since you're working with a parabola you'll only find one extremum which will be your highest point (=height)