Absolute value & piece wise functions
The graph of y=|x| is scaled vertically by a factor of 6.
what is the equation of the new graph?
Y= 6|x|
(3- 91i) + (67) =
Express your answer in the form (a+bi).
70-91i
Multiply and simplify the following complex numbers:
(3-4i) x (-3+2i)
-1 + 18i
Find the solution of the system of equations.
4x-7y=42
2x-8y=30
(7,-2)
What does complex numbers represent?
Whole numbers & imaginary numbers together.
f(x)=|x|
g(x) =|x| +1
We can think of g as a translated (shifted) version of f.
To get the function g,shift f (left,right,up,down) by __ units
to get to the function g shift f up by 1 unit.
(-90 - 27i) - (66+34i) =
Express your answer in the form (a+bi)
-156-61i
Multiply and simplify the following complex numbers:
(-4+4i) x (3+2i)
-20+4i
Find the solution of the systems of equations.
4x+6y=16
-7x+2y=-3
(1,2)
What does PEMDAS mean?
parenthesis, exponent, multiplication, division, addition, and subtraction.
The graph of y=|x| is reflected across the x-axis and then scaled vertically by a factor of 1/4.
What is the equation of the new graph?
y= -1/4|x|
(12-9i) + (32-6i) =
Express your answer in the form (a+bi)
44-15i
Multiply and simplify the following complex numbers:
(-3+3i) x (3-2i)
-3+15i
Find the solution of the systems of equations.
4x-8y-44
2x+4y=-6
(-7,2)
What does X represent in Y=MX+B ?
The distance of the line from the X-axis
f(t) {-64/t , t=8
{ 14-t , t=10
{t^2- 3t +2 ,t=/ 8,10
f(2)= __
0
(-33 - 2i) - (50+9i) =
Express your answer in the form (a+bi)
-83-11i
Multiply and simply the following complex numbers:
(-2-3i) x (-5-2i)
4+19i
Find the solution of the system of equations.
-7x+4y=-32
9x-2y=38
(4,-1)
How do you find the X-intercept?
Plugging in 0 for y and solve.
The graph of y=|x| is shifted up by 4 units and to the right by 5 units.
What is the equation of the new graph?
y=|x-5|+4
(-3+71i) + (9) =
Express your answer in the form(a+bi)
6+71i
Multiply and simplify the following complex numbers:
(-2-4i) x (1-i)
-6-2i
Find the solution of the system of equations
-3x-2y=-4
9x+3y=15
(2,-1)
How do you find the Y-intercept?
Plugging in Y for 0 and solve.