Test 2 Flashcards Preview

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Flashcards in Test 2 Deck (18)
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1
Q

Midpoint formula

A
2
Q

distance formula

A
3
Q

circle standard from

A

(x-h)2+(y-k)2=r2

4
Q

Slope intercept

A

f(x)=mx+b

5
Q

Point Slope

A

y-y1=m(x-x1)

6
Q

Slope

A
7
Q

what kind of transformation:

y=f(x)+c

A

Vertical shift of C units

+ up, - down on y axis

8
Q

What kind of transformation:

y=f(x+c)

A

Horizontal shift of C units

+ left, - right on x-axis

9
Q

Reflection or rotation:

y=f(-x)

A

rotation of y-axis

right <–> left

10
Q

Reflection or Rotation:

y=-(x)

A

Reflection of the x-axis

top <–> bottom

11
Q

How do you find x and y intercepts?

7x-2y=6

A

Set each x and y to zero to find the x and y intercepts

12
Q

How to find domain:

f(x) 2x2+x3+1

A

Domain is all real numbers

(-oo,oo)

13
Q

How to find domain:

f(x)=,/x+1

(square root - ,/ )

A

Set whats under the square root greater or equal to zero, solve

x+1>0, inequality x>-1

interval [-1,oo)

set {x|x_>_-1}

14
Q

How to find domain:

f(x)= _ 1 _
x+1

A

Set what is on the denominator to zero and solve for x, solution is NOT domain

x+1=0, x=-1

interval (-oo,-1) U (-1,oo)

15
Q

What is domain on a graph of x2

A

the span on the x axis

16
Q

What is range on a graph of x2

A

span on the y-axis

17
Q

(f o g) f of g

A

(f o g)(x)= f(g(x))

f’s function is used where g’s function replaces x in f’s function

18
Q

What are the zeros on a graph

A

the point at which the graph intercepts the x axis (x,0)