The curve crosses the x-axis at (1, 0), touches it at (–3, 0) and crosses the y-axis at (0, –9)
(a) In the space below, sketch the curve C with equation y = f(x + 2) and state the coordinates of the points where the curve C meets the x-axis.
(b) Write down an equation of the curve C.
(c) Use your answer to part (b) to find the coordinates of the point where the curve C meets the y-axis.
(b) Find f"(x).
2x + y = 1
x2 – 4ky + 5k = 0
where k is a non zero constant,
(a) show that
x2 + 8kx + k = 0
Given that x2 + 8kx + k = 0 has equal roots,
(b) find the value of k.
(c) For this value of k, find the solution of the simultaneous equations.
Try out our new and fun Fraction Concoction Game.
Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.