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.
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