Find max point of y=-x^2-5x-10

Can either differentiate or using the completing the square method. Differentiation not covered at GCSE so completing the square should be done to get -((x+5/2)2+15/4). To find the max point we need to find the minimum value of (x+5/2)2. This is 0 (due to square) which occurs when x=-5/2 in which case y=-15/4. This can easily be done by equating the x value to the negative of the value within the inner bracket and y value to the value in the outer bracket.

GR
Answered by Gautham R. Maths tutor

3255 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How can I tell if two lines are perpendicular from the equations?


Solve the simultaneous equations 5x + y = 21 and x - 3y = 9


If a rectangle has length (x-4), width (x-5) and area 12 then what is the value of x?


Show that (x + 1)(x + 2)(x + 3) can be written in the form ax3 + bx2 + cx + d where a, b, c and d are positive integers.


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