Graphing Quadratics (VCE SSCE Mathematical Methods): Flashcards

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Graphing Quadratics
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Highest power in quadratic function

2

Polynomial form of quadratic

y=ax2+bx+cy = ax^2 + bx + c

Turning point form of quadratic

y=a(xh)2+ky = a(x - h)^2 + k

Shape of quadratic graph

Parabola

Vertex of y=x2y = x^2

(0,0)(0, 0)

Effect when a>1a > 1 in y=ax2y = ax^2

Narrower/steeper than y=x2y = x^2

Effect when a<0a < 0 in y=ax2y = ax^2

Opens downward (reflected in x-axis)

Shift when h>0h > 0 in y=(xh)2y = (x - h)^2

h units to the right

Vertex of y=a(xh)2+ky = a(x - h)^2 + k

(h,k)(h, k)

Axis of symmetry: y=a(xh)2+ky = a(x - h)^2 + k

x=hx = h

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