Graphing Quadratics (VCE SSCE Mathematical Methods): Quizzes

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Graphing Quadratics
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What is the vertex of the basic parabola y=x2y = x^2?

(0,0)(0, 0)

How does y=2x2y = 2x^2 compare to y=x2y = x^2?

Narrower (steeper)

What happens when aa is negative in y=ax2y = ax^2?

Parabola opens downward

Where is the vertex of y=x2+5y = x^2 + 5?

(0,5)(0, 5)

Where is the vertex of y=(x+3)2y = (x + 3)^2?

(3,0)(-3, 0)

What is the vertex of y=2(x1)2+3y = 2(x - 1)^2 + 3?

(1,3)(1, 3)

What is the axis of symmetry for y=(x2)2+1y = (x - 2)^2 + 1?

x=2x = 2

How do you find the yy-intercept of a parabola?

Set x=0x = 0 and solve for yy

How does y=12x2y = \frac{1}{2}x^2 compare to y=x2y = x^2?

Broader (wider)

When does an upward-opening parabola have no xx-intercepts?

When vertex is above the xx-axis

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