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 I expand and simplify a double bracket equation?
Find the roots of x^2-9=0
Anna and Lionel share $675 in the ratio 4 : 5 Lionel gives 3 5 of his share of the money to his mother. How much money does Lionel give to his mother?
If f(x) = 4x - 7 and f(c) = 9, find the value of c.