SQUARE ROOT FUNCTIONS
What is the square root function ?
f(X)=√X
Formula of inverse variation?
Y=K/X |
What are the methods of solving systems of equations ?
graphing, substitution, and elimination
What is the formula of a transformation of rational functiom
f(x)=a/(x-h) + k
How do you write 3 units to the left and 1 unit up in the square root function?
√X+3 +1
What does K represent? |
k is the constant
SOLVE:
y=-2x+22
y=3x-28
(10,2)
What is the domain of f(x)=1/x
All real numbers except 0
What is the domain and range of Y=1/2√X?
X≥0 Y≥0
What do you do when you are looking for k?
multiply both sides by x
What is your first step of graphing systems of equations?
put both into y equals
What makes the graph wider or more narrow?
in F(x)= a/(x-h) =K
A
| Using this equation with the given x point what are your y values Y=√3X;x values are 3,1,0,4,5? |
y values are 3,1.7,0,3.5,3.9
Is this equation inverse? y=(1/4)X; if not explain |
no, it is a direct variation because (1/2) is being multiplied by X
Solve by using the substitution method
y= x+3
x+y=-5
x+(x+3)=-5
2x+3=-5
2x=-5
x=-4
y=x+3
y=-4+3
y=-1
(-4,-1)
what does k do? F(x)= a/(x-h)-k
shifts graph down
What is the domain of f(x)= 1/x-2?
(-∞,2)U(2,+∞) |
If y varies inversely with x and y=12 when x=2, find y when x=8
y=3
SOLVE: algebraically
x+y=3
2x+2=6
infinitely solutions
Reflection over x axis
shifted 4 units right
f(x)=x^2
f(x)= -(x-4)^2