Types of Graphs (Junior Cert Mathematics): Quizzes

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Quadratic: y=ax^2 +bx + c
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What makes a function quadratic?

It includes an x2x^2 term

What is the U-shaped curve of a quadratic function called?

A parabola

What is the simplest quadratic function?

f(x)=x2f(x) = x^2

For f(x)=x2f(x) = x^2, what is f(2)f(2)?

44

What property describes how a parabola looks the same on both sides?

Symmetry

What is the vertical line that divides a parabola symmetrically called?

Axis of symmetry

What is the lowest point on an upward-opening parabola called?

Vertex

What happens if the coefficient of x2x^2 is negative?

Parabola opens downwards

Which function creates an upside-down parabola?

f(x)=−3x2+4f(x) = -3x^2 + 4

For f(x)=x2f(x) = x^2, what is the axis of symmetry?

The yy-axis

If a parabola looks like a sad face, what is the coefficient of x2x^2?

Negative

Why does f(x)=x2f(x) = x^2 form a curve rather than a straight line?

The x2x^2 term causes rapid increase

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