# AP Physics 1

## Properties Of a Quadratic Line

#### Move the Coefficient slider bars to explore the properties of a quadratic graph. Look at

• The effect of changes in a
• The effect of changes in b
• The effect of changes in c
• The effect of a negative values of a
• The effect of a positive values of a
• What happens when a = 0 ?
• See if you can get the curve to just touch the x-axis (y=0)
• Can you get the "roots" -1.0 and 1.0 ?

#### General Equation: y = a x2 + b x + c or f(x) = a x2 + b x + c

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Below is a second way to consider the equation of a quadratic equation
where h and k result in the coordinates of the vertex and a alters the shape of the U

#### General Equation: y = a (x - h)2 + k or f(x) = a (x - h)2 + k

• The effect of changes in a
• The effect of changes in h
• The effect of changes in k
• The effect of a negative values of a
• The effect of a positive values of a
• What happens when a = 0 ?
• See if you can get the curve to just touch the x-axis (y=0)
• Can you get the "roots" -1.0 and 1.0 ?
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