Teth 1 Flashcards

1
Q

Completer the square purpose

A

To go from y=ax^2 +bx+c to

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

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2
Q

How to find h part of complete the square

A

H= -b/2a

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3
Q

How to find k in complete the square

A

H^2 + k= c

Or
K= c-h^2

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4
Q

How to find max of a quadratic

A

Find the vertex

-b/2a and then solve for x

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5
Q

Linear parent

A
Y=x 
Constant slope
Increases 
No concave / max min/ bends
No concaves 
1to 1
D= all real #
R= all real #
Constant velocity
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6
Q

Square root parent function

A
Y = sqrt(x
~ max 🤷‍♂️
1to 1
Slope decreases but graph increases
Concave down
Domain and range [0,infinti)
Xand Y intercept (0,0)
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7
Q

Quadratic parent

A
Y=x^2
Always concave up 
Has a min 
Constant acceleration 
Velocity constant increasing
Line of symmtrt is y axsis 
Domain and range are all real nunbers
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8
Q

Absolute value parent

A
Y=|x|
Has a min
Has a bend
Not a constant slope 
Line of symetry is y axsis
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9
Q

Domain

A

All possible inputs

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10
Q

Range

A

All possible outputs

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11
Q

Function

A

For each input only one output
Inverse flip x and y

Output is a funtion of input

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