The curve C has equation y = x^3 - 2x^2 - x + 9, x > 0. The point P has coordinates (2, 7). Show that P lies on C.

Every point on the curve C satisfies the equation. In order to show P lies on C, we need to test if either x- or y-coordinates satisfy the equation. It is easier to subsitute x=2 into the equation.

By doing so, this gives

y = (2)3 - 2 x (2)2 - (2) + 9 

y = 7

As P's y-coordinate is also 7, therefore, P (2, 7) lies on the curve C.

Minh P. A Level Maths tutor, GCSE Maths tutor

1 year ago

Answered by Minh, an A Level Maths tutor with MyTutor

Still stuck? Get one-to-one help from a personally interviewed subject specialist


£20 /hr

Luke B.

Degree: Mathematics (Masters) - Sheffield University

Subjects offered:Maths, Further Mathematics + 3 more

Further Mathematics
-Personal Statements-

“I am a fun, engaging and qualified tutor. I'd love to help you with whatever you need, giving you the support you need to be the best you can be!”

£20 /hr

Jake H.

Degree: Computer Science (Bachelors) - Leeds University

Subjects offered:Maths, Computing


“A computer scientist with a love for reading, writing and talking about mathematics!”

£30 /hr

Mathew V.

Degree: Mathematics (Bachelors) - Warwick University

Subjects offered:Maths, Physics+ 1 more

Further Mathematics

“Hi there! I’m Mathew, a 3rd year undergraduate student of Mathematics at Warwick University. For A-Levels I studied Maths, Further Maths, Further Additional Maths and Physics. I also worked at a local tuition centre for 2 years prior ...”

About the author

£20 /hr

Minh P.

Degree: LLB Law with Business Studies (Bachelors) - Birmingham University

Subjects offered:Maths


“Top tutor from the renowned Russell university group, ready to help you improve your grades.”

MyTutor guarantee

You may also like...

Other A Level Maths questions

Find the x co-ordinates of the stationary points of the graph with equation y = cos(x)7e^(x). Give your answer in the form x = a +/- bn where a/b are numbers to be found, and n is the set of integers.

Given that y = (( 4x + 1 )^3)sin(2x), find dy/dx.

What is a Probability Mass Function (PMF)?

At t seconds, the temp. of the water is θ°C. The rate of increase of the temp. of the water at any time t is modelled by the D.E. dθ/dt=λ(120-θ), θ<=100 where λ is a pos. const. Given θ=20 at t=0, solve this D.E. to show that θ=120-100e^(-λt)

View A Level Maths tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss