Graphs of Quadratic Functions (Leaving Cert Mathematics): Quizzes

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Graphs of Quadratic Functions
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What is the highest power of xx in a quadratic function?

2

In f(x)=ax2+bx+cf(x) = ax^2 + bx + c, why must a≠0a ≠ 0?

Becomes linear if a=0a = 0

What is the name of the curved shape formed by a quadratic graph?

Parabola

If the coefficient of x2x^2 is positive, which way does the parabola open?

Upwards (U-shape)

If the coefficient of x2x^2 is negative, which way does the parabola open?

Downwards (∩-shape)

For an upward-opening parabola, what is the vertex?

Minimum point

What divides a parabola into two identical halves?

Axis of symmetry

When drawing a parabola, how should you join the plotted points?

Smooth curved line

What property of differences confirms a function is quadratic?

Second differences are constant

What is the general form of a quadratic function?

f(x)=ax2+bx+cf(x) = ax^2 + bx + c

What key characteristic do all parabolas share?

They are symmetrical

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