Test 2 Flashcards
(18 cards)
Midpoint formula
distance formula
circle standard from
(x-h)2+(y-k)2=r2
Slope intercept
f(x)=mx+b
Point Slope
y-y1=m(x-x1)
Slope
what kind of transformation:
y=f(x)+c
Vertical shift of C units
+ up, - down on y axis
What kind of transformation:
y=f(x+c)
Horizontal shift of C units
+ left, - right on x-axis
Reflection or rotation:
y=f(-x)
rotation of y-axis
right <–> left
Reflection or Rotation:
y=-(x)
Reflection of the x-axis
top <–> bottom
How do you find x and y intercepts?
7x-2y=6
Set each x and y to zero to find the x and y intercepts
How to find domain:
f(x) 2x2+x3+1
Domain is all real numbers
(-oo,oo)
How to find domain:
f(x)=,/x+1
(square root - ,/ )
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}
How to find domain:
f(x)= _ 1 _
x+1
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)
What is domain on a graph of x2
the span on the x axis
What is range on a graph of x2
span on the y-axis
(f o g) f of g
(f o g)(x)= f(g(x))
f’s function is used where g’s function replaces x in f’s function
What are the zeros on a graph
the point at which the graph intercepts the x axis (x,0)
