Find the coordinates of the minimum point of the curve y=x^2+6x+5.

To answer this question is equivalent to minimising y=(x+3)^2-4. We have that all square numbers are greater than or equal to 0 so to minimise this equation, we require that (x+3)^2=0. This is satisfied only when x=-3. Then y=[(-3)+3]^2-4=-4. Our minimum point is therefore (-3,-4).

JI
Answered by Jonny I. Maths tutor

11278 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

What's the best way to work out any percentage of a given number, e.g. 63% of 450?


3. (a) State the nth term of each of the following sequences: (i) 3, 7, 11, 15, 19, ....


Solve the quadratic equation (x^2)-7x+10=0


A solution to the equation 2x^2-3x-17=0 lies between 2&3 use method of trail and improvement to find the solution


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences