Quadratic Graphs and Equations Flashcards

1
Q

What is the turning point of y=(x+b)2+c?

A

(-b,c)

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2
Q

What is the form of an equation of a line of symmetry?

A

x = Something

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3
Q

How do you find an x-coordinate if you know the y-coordinate?

A

Substitute y into the original equation

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4
Q

How do you find an y-coordinate if you know the x-coordinate?

A

Substitute x into the original equation

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5
Q

What is the discriminant?

A

b2 - 4ac

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6
Q

If the discriminant is positive, what is the nature of the roots?

A

b2 - 4ac > 0

2 real, distinct roots

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7
Q

If the discriminant is zero, what is the nature of the roots?

A

b2 - 4ac = 0

2 real, equal roots

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8
Q

If the discriminant is negative, what is the nature of the roots?

A

b2 - 4ac < 0

No real roots

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