How can I find the stationary points of a parabola given it's equation?

You can find the stationary points by differentiating the equation and then solving it for zero. What this means, is that you can take the power of the Xs in the equation, and differentiate by bringing the power to the front, and then subtracting one from the power in front of the X. For example, for y = X^2, differentiating it would give 2x. You can then set f(x) = 0, and find the value of x for which f(x) is equal to 0 by solving like an algebraic equation. This will give you the stationary x coordinate. You can then use this value and substitute it in for x in the original equation to solve for f(x) or y. The gives you the y coordinate of the stationary point.

MA
Answered by Miriam A. Maths tutor

5682 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the simultaneous equations: (3x+2y=3), (x-y=-4)


Solve these simultaneous equations: 7x+3y=84, 2x+2y=32


120 men and 80 women were asked if they drive to work. Altogether 1/4 of people said yes. And a 1/3 the of men said yes. What fraction of women said yes?


There are 10 boys and 20 girls in a class. The mean mark in a test for all the class is 60. The mean mark for the girls is 54. Work out the mean mark for the boys.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning