Chapter 1 & 2 skills Flashcards

1
Q

What is the shape of this graph: y=a(x-h)^2 + k

A

Parable

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2
Q

What is the shape of this graph: y=a(x-h)^3 + k

A

Cubric

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3
Q

What is the shape of this graph: y=a(x-h)^4 + k

A

Quartic

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4
Q

What is the shape of this graph: y= a/(x-h) +k

A

Hyperbola

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5
Q

What is the shape of this graph: y= a/(x-h)^2 +k

A

Truncas

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6
Q

What is the shape of this graph: y= a(x-h)^1/2 +k

A

Square Root

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7
Q

What is the shape of this graph: y= aln(x-h) +k

A

Log

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8
Q

What is the shape of this graph: y= ae^x-h +k

A

Exponential

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9
Q

Given the power function y=x^3/4, what is the functions domain

A

[0. infinite)

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10
Q

Given the power function y=x^3/5, what is the functions domain

A

(-infinite. infinite)

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11
Q

Given the power function y=x^3/4, what is the functions range

A

(-infinite. infinite)

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12
Q

Given the power function y=x^3/5, what is the functions range

A

(-infinite. infinite)

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13
Q

Given the power function y=x^6/5, what is its shape

A

Parabolic

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14
Q

Given the power function y=x^7/5, what is the shape

A

Cubric

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15
Q

Given the power function y=x^3/5, what is the shape

A

Cube Root

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16
Q

Given the power function y=x^2/5, what is the shape

A

Square Root

17
Q

When do linear equations have: 0 solutions

A

Equal gradients and different c values (offset)

18
Q

When do linear equations have: 1 solutions

A

Different gradients

19
Q

When do linear equations have: infinite solutions

A

Equal gradients and same c values (offset)

20
Q

Distance formula

A

D =((x1-x2)^1/2 + (y1-y2)^2)^1/2

21
Q

How to find the perpendicular gradient

A

m(perp) = -1/m(OG)