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 ▸Rectangle ABCD has sides 2x+5 and x+2 with rectangle EFGH of sides x+3 and x cut out of it. The total area of shape ABCD is 5cm^2. Show that 0 = x^2 + 6x +5 [5 Marks]
What is Pythagoras' theorem and what can it be used to figure out?
(i) Find the gradient of the straight line passing through the points: (0,3) and (9,21). (ii) Write down the equation of the line in form y = mx + c
If a rectangle has length (x-4), width (x-5) and area 12 then what is the value of x?