Sketch the blueprint of (y = x^2 – 2x – 3), labelling the credibility of circle and the axis point.
The accessory of (x^2) is positive, so the blueprint will be a absolute U-shaped curve.
Factorising (y = x^2 – 2x – 3) gives (y = (x 1)(x – 3)) and so the blueprint will cantankerous the (x)-axis at (x = -1) and (x = 3).
The connected appellation in the blueprint (y = x^2 – 2x – 3) is -3, so the blueprint will cantankerous the (y)-axis at (0, -3)
Writing (y = x^2 – 2x – 3) in completed aboveboard anatomy gives (y = (x – 1)^2 – 4), so the coordinates of the axis point are (1, -4).
How To Write A Parabola In Vertex Form – How To Write A Parabola In Vertex Form
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