A parabola through three intercepts

A parabola through three intercepts

6 marks
TGM Original
A quadratic graph crosses the x-axis at (-2,0) and (4,0), and the y-axis at (0,8). Find its equation and sketch it, labelling its intercepts and turning point.

Solution:

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Answer:\(y=-(x+2)(x-4)=9-(x-1)^2\); vertex \((1,9)\).

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