Sketch and label the graph of y=x^2 -5x+6
First we can try and factorise the expression:So we want to find 2 numbers that multiply to 6 and add to -5... after some thinking we get -2 and -3. The factorised expression is y=(x-2)(x-3). To find where the graph crosses the x axis, we can set y=0, this means x=2 or x=3.To find where the graph crosses the y axis we can set x=0, so y=6Now we have all the information to sketch the graph.
EG
Related Maths GCSE answers
All answers ▸How do you know whether to use sin, cos or tan to find the angle in a triangle?
Solve the following simultaneous equations: 2x-3y=16 x+2y=-6
(a) Expand and simplify (x − 3)(x + 5), ..2 marks.. (b) Solve x^2 + 8x − 9 = 0 ..3 marks..
which expression is equivalent to x^2-4? (x-2)^2 (x-2)(x+2) (x+2)(x+2) x^2(-4)