Key Features
Transformations
Operations of Complex Numbers
Solving
Square Roots
100
What is the difference between domain and range?
Domain: All the x-values on the graph, from the left-most x-value to the right-most x-value.
Range: All the y-values on the graph, from the lowest y-value to the highest y-value.
100
What is the transformation of the provided function?
g(x)=x^2-5
Shift Down 5 Units
100
What is i2 equivalent to?
i^2=-1
100
Solve the following function by factoring.
x^2+5x+6=0
(x+3)(x+2)=0
x=-3, x=-2
100
What do you need to add when you create the square root?
+-
200
What is the domain and range of the given function?
"Domain: " (-oo,oo)
"Range: " [1,oo)
200
What are the transformations of the function provided?
h(x)=(x-1)^2+3
Shift Right 1 Unit
Shift Up 3 Units
200
Simplify the given expression and write in the form a+bi
(2+3i)+(4-2i)
6+i
200
Solve the following by factoring.
2x^2+13x+6=0
(2x+1)(x+6)=0
x=-1/2, x=-6
200
Solve the following function by using square roots.
x^2=24
x=+-2sqrt6
300
What is the difference between positive and negative intervals?
Positive: The x-values where the graph is above the x-axis or has POSITIVE y-values.
Negative: The x-values where the graph is below the x-axis or has NEGATIVE y-values.
300
What are the transformations of the function provided?
j(x)=2(-x)^2
Vertical Stretch BAFO 2
Reflection across the y-axis
300
Simplify the given expression and write in the form a+bi
(1-5i)-2(3-i)
-5-3i
300
Solve the following by factoring.
x^2-16=0
(x+4)(x-4)=0
x=4, x=-4
300
When do we need to put an i on the outside of your square root?
When you are taking the square root of a negative.
ex.)
sqrt(-7)=isqrt7
400
What is the end behavior of the function below.
"as " x-> -oo, y->oo
"as " x->oo, y->oo
400
What are the transformations of the provided functions?
m(x)=-1/2x^2
Reflection across the x-axis
Vertical Compression BAFO 1/2
400
Simplify the given expression and write in the form a+bi
-3(2-4i)+2(1+2i)
-4+16i
400
Solve using the quadratic formula.
x^2+2x-3
x=1, x=-3
400
Solve the following function by using square roots.
x^2=-64
x=+-8i
500
What is the increasing interval of the function below?
"Increasing: " (-2,oo)
500
Create a function with the following transformations and the parent function.
Parent function: x2
Reflection across the x-axis
Vertical Stretch BAFO 4
Shift Down 3 Unitsg(x)=-4x^2-3
500
Simplify the given expression and write in the form a+bi
(3+2i)(5-4i)
15-12i+10i-8i^2=23-2i
500
Solve using the quadratic formula.
2x^2+4x+10=0
x={-4+-8i}/4
x=-1+-2i
500
Solve the following function by using square roots.
5x^2-12=-52
x=+-2isqrt2