Chapter 4 Flashcards

1
Q

Vertex form

A

Y=a(x-h)2+k

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2
Q

Intercept form

A

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

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3
Q

How to find the y intercept from general form

A

It is (0,C)

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4
Q

Vertex formula

A

-b/2A

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5
Q

Intercept form finding the axis of symmetry

A

Use the distance formula

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6
Q

Distance formula

A

2

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7
Q

How to tell if something is linear

A

If x is to the first and there is no xy

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8
Q

Sum of cubes

A

A3+B3=(a+b)(a2-ab+b2)

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9
Q

Difference of cubes

A

A3+B3=(a+b)(a2+ab+b2)

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10
Q

How to use the sum and difference of cubes ex. 8x2-1

A

Take the cube roots of each, number

Plug them in to the formula

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11
Q

Duplicity

A

Having two options

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12
Q

How to find the vertex in vertex form

A

It is given. (H,K)

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13
Q

How to formally graph quadratic equations.

A

You need 5 points
1 vertex
2 y intercepts
2 choice.

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14
Q

How to calculate the y intercepts

A

Plug in x=0 then mirror

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15
Q

General form

A

Y=Ax^2+Bx+C

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16
Q

How to solve equations by factoring.

A

Set it equal to zero.
Factor completely
Create 2 equations with the 2 different subjects of multiplication.
Solve for duplicity

17
Q

How to solve by completing the square

A

Get a=1
Complete the square.
Factor
Solve for a duplicity with +/-