Non-Linear Relationships (HSC SSCE Mathematics Standard): Quizzes

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Quadratic Functions and Models
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What shape does a quadratic function create when graphed?

A parabola

What is the general form of a quadratic function?

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

When aa is positive in y=ax2+bx+cy = ax^2 + bx + c, how does the parabola open?

Upward like a smile

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

(0,0)(0, 0)

How does a larger coefficient of x2x^2 affect the parabola?

Makes it narrower with steeper sides

In y=x2+1y = x^2 + 1, how does adding 1 affect the graph of y=x2y = x^2?

Shifts it up

When aa is negative, what type of turning point does the parabola have?

Maximum turning point

What is the axis of symmetry for the basic parabola y=x2y = x^2?

x=0x = 0

Which is NOT mentioned as a quadratic model application?

Temperature changes

What two components make up stopping distance?

Reaction distance + braking distance

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