Hi, anyone know how to find a function when you're given the quadratic graph?

aoifemcgrath96
find out where it crosses the x axis, for example x=2 and x=3 these are the roots
x2 and x+3 are your factors, multiple these out and you'll be left with f(x)=x^2 + x 6
hope that answers your question! :)

themathstutor.ie
Agreed. And in the above example, the graph should cross the yaxis at 6, so that's a good check to make too.
If it only touches the xaxis (without crossing it), for example if it touches the xaxis at (3,0), then the factors are identical. So, (x3)(x3), which simplifies to x^2 6x + 9

eimearnr
For the mock question we picked values then using differentiation found out whether it was rising or falling , you can pick the grah fro that

eimearnr
For the mock question we picked values then using differentiation found out whether it was rising or falling , you can pick the grah fro that

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