Factorise f(x) = x^2+4x+4 and sketch the curve, identifying the roots and minimum point of f(x).

f(x) = (x+2)(x+2) When f(x) = 0, x = -2. f'(x) = 2x + 4 When f'(x) = 0, x = -2, and corresponds to the minimum point. Therefore, the sketch of the curve will be a U-shaped parabola which touches the x-axis at x = -2 and crosses the y-axis at y = 4.

OD
Answered by Orlaith D. Maths tutor

3539 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

How do you calculate the area of a triangle when the question tells you the length of all three sides but no angles?


Solve the equations x^2+y^2=13 and x-2y=1 simultaneously.


Expand and simplify (x-2)(2x+3)(x+1)


Consider a right-angled triangle with an inside angle of 30° and a hypotenuse of 8cm. Calculate the length of the opposite side to the 30° angle.


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences