4.1/4.2/4.9 Flashcards

1
Q

Parent function for quadratic

A

Y=x^2

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2
Q

Graphing y=ax

A

A* whatever the x value is

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3
Q

Comparing parent quadratic to y=ax+c

A

|a|>1=stretch
|a|<1= shrink
A<0 reflection
C is vertical shift

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4
Q

Standard form for quadratic a

A

Y= ax^2+bx+c

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5
Q

How to graph Y= ax^2+bx+c

A

A>o opens up

A

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6
Q

How to find max and minimums of Y= ax^2+bx+c

A

-(b/2a)
Plug in x and find y
If a0 opens up so minimum

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7
Q

Vertex form for quadratic

A

Y=a(x-h)^2+k

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8
Q

What do the variables represent in Y=a(x-h)^2+k

A

A is opening up or down
H is horizontal shifts
K is vertical shifts
Vertex is h k

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9
Q

What is intercept form of quadratic

A

Y=a(x-p)(x-q)

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10
Q

What do the variables represent in Y=a(x-p)(x-q)

A

P and Q are x intercepts
Axis of symmetry P+Q/2
Vertex find x, then plug in for y

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11
Q

What does foil represent

A

First
Outer
Inner
Last

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12
Q

How do you change from intercept to standard

Y=a(x-P)(x-q) to y=ax^2+bx+c

A

Foil

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