Sketch y = 9x – 4x^3, showing where the curve crosses the x axis.

First you should look at the equation and try and get a sense of the general shape of the graph. The highest power in here is a 3, so this is a cubic graph. The coefficient (number in front of the x^3) is a negative, so it will be a negative cubic graph (draw what this looks like.) Next, we need to figure out where the curve intersects the x axis. To do this, we will first factorise the equation to make it simpler to understand (spot the difference of 2 squares in the factorisation), and then find all values of x when y=0, as this will be the points where the curve cuts the x axis.

Answered by Anais E. Maths tutor

4611 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

What is the smallest possible value of the integral ∫(x-a)^2 dx between 0 and 1 as a varies?


Express x^2 - 7x + 2 in the form (x - p)^2 + q , where p and q are rational numbers.


Integrate (12x^5 - 8x^3 + 3)dx giving the terms of the answer in the simplest terms


You are given the equation y=x^2. Determine whether or not the equation has any maximums or minimums and identify them (whether they are maximums or minimums).


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