Quadratic: y=ax^2 +bx + c (Junior Cert Mathematics): Flashcards

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Quadratic: y=ax^2 +bx + c
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Definition of quadratic function

A function that includes x2x^2

Shape of a quadratic function's graph

U-shaped curve

Name of U-shaped curve from quadratic

Parabola

Simplest quadratic function

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

Why quadratics create parabolas

x2x^2 causes values to increase rapidly as xx gets larger

What shape property does a parabola have?

Symmetrical curve

Name of vertical symmetry line in parabola

Axis of symmetry

Lowest point on upward-opening parabola

Vertex

If coefficient of x2x^2 is negative, parabola shape

Upside-down parabola

Parabola opening upwards looks like

Happy face (positive x2x^2 coefficient)

Parabola opening downwards looks like

Sad face (negative x2x^2 coefficient)

Axis of symmetry for f(x)=x2f(x) = x^2

yy-axis

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