A touching parabola

A touching parabola

5 marks
TGM Original
A quadratic graph touches the x-axis at (-2,0) and passes through (0,8). Find its equation and sketch it, labelling its turning point and intercepts.

Solution:

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Answer:\(y=2(x+2)^2\); vertex and sole \(x\)-intercept \((-2,0)\); \(y\)-intercept \((0,8)\).

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