Vocabulary
what is the set of all possibly x-values in a function called?
Simplify: i2
-1
What transformation occurs in f(x)=x2+3
Shift up 3 units
Simplify: (x+2)+(3x−5)
4x-3
what do we call the y-values a function can output?
The range
simplify: 3i+5i
8i
What happens in f(x)=(x−4)2
Shift right 4 units
Simplify: (x2+4x)−(2x2−3x)
-x2+7x
What is the vertex of a parabola?
The highest or lowest point on the graph
Multiply: (2+3i)(1-i)
5+i
What transformation is in f(x)=−x2
reflection over the x-axis
Multiply: (x+3)(x−2)
x2+x-6
what are like terms?
terms that have the same variables and exponents
(4+I)(4-i)
17
Describe f(x)=2x2
vertical stretch by factor of 2
Multiply: (2x−1)(x2+3x+2)
2x3+5x2+4x−2
what is the inverse of a function?
A function that reverses the input and output
Divide:6+2i/1-i
2+4i
Describe all transformations in f(x)=−3(x+2)2−1
Reflect over x-axis, vertical stretch by 3, left 2, down 1
Divide x3+2x2−3x−6 by x+2
x2-3