Two Important Graphs (VCE SSCE Mathematical Methods): Quizzes

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Two Important Graphs
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Which direction does the parabola y2=xy^2 = x open?

To the right

What is the vertex of the graph y2=xy^2 = x?

(0,0)(0, 0)

What is the axis of symmetry for y2=xy^2 = x?

The xx-axis

For (yk)2=a2(xh)(y - k)^2 = a^2(x - h), what are the vertex coordinates?

(h,k)(h, k)

What does the graph y=xy = \sqrt{x} represent relative to y2=xy^2 = x?

The upper half of y2=xy^2 = x

What is the domain of y=xy = \sqrt{x}?

x0x \geq 0

What effect does a negative coefficient have on y=axy = a\sqrt{x} when a<0a < 0?

Reflection in the xx-axis

For y=2x1+3y = -2\sqrt{x - 1} + 3, what is the range?

y3y \leq 3

What is the domain of y=xy = \sqrt{-x}?

x0x \leq 0

How is y=xy = \sqrt{-x} related to y=xy = \sqrt{x}?

Reflection in the yy-axis

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