Two Important Graphs (VCE SSCE Mathematical Methods): Flashcards

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Two Important Graphs
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Direction y2=xy^2 = x opens

Horizontally to the right

Vertex of y2=xy^2 = x

(0,0)(0, 0) or origin

Axis of symmetry for y2=xy^2 = x

xx-axis

Vertex of (yk)2=a2(xh)(y - k)^2 = a^2(x - h)

(h,k)(h, k)

What y=sqrtxy = sqrt{x} represents relative to y2=xy^2 = x

Upper half of the parabola y2=xy^2 = x

Domain of y=sqrtxy = sqrt{x}

xgeq0x geq 0

Range of y=sqrtxy = sqrt{x}

ygeq0y geq 0

Endpoint of y=asqrtxh+ky = asqrt{x - h} + k

(h,k)(h, k)

y=sqrtxy = sqrt{-x} relative to y=sqrtxy = sqrt{x}

Reflection in the yy-axis

Domain of y=sqrtxy = sqrt{-x}

xleq0x leq 0

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