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Function Transformations
Key Features of Graphs
Types of Functions
Logarithms
Miscellaneous Vocabulary
200

In the function f(x)=-5(x-4)3+1, how does the 5 change the graph of the parent function?

Vertical stretch by a factor of 5

200

The point where the graph intersects the x-axis

x-intercept

200

What type of function is this?

f(x)=3x-7

Linear function

200

In the equation logbx=y, what does b represent?

Base

200

The result of inverting a fraction

Reciprocal
400

In the function f(x)=-5(x-4)3+1, how does the -4 change the graph of the parent function?

Translation right by 4
400

The point (0, 0)

Origin

400

What type of function is this?

f(x)=2x2-3x+4

Quadratic function

400

In the equation logbx=y, what does x represent?

Argument

400

A relation that pairs each input with exactly one output

Function
600

In the function f(x)=-5(x-4)3+1, how does the 1 change the graph of the parent function?

Translation up by 1

600

As x-values increase, f(x) increases

Interval of increase

600

What type of function is this?

f(x)=3x-7

Exponential function

600

In the equation logbx=y, what does y represent?

Exponent

600

The square root of a negative number

Imaginary number
800

In the function f(x)=-5(x-4)3+1, how does the negative in front of the 5 change the graph of the parent function?

Reflection over the x-axis

800
A vertical line that passes through the vertex of a parabola

Axis of symmetry

800

The inverse of an exponential function

Logarithmic function

800

A logarithm with base e

Natural logarithm

800

The point where a function changes concavity

Inflection point

1000

In the function f(x)=-1/2(x+1)3-6, how does the 1/2 change the graph of the parent function?

Vertical compression by a factor of 2

1000

Whether a parabola opens up or down

Concavity

1000

A function whose inverse is also a function

Invertible function

1000

A logarithm with base 10

Common logarithm

1000

A collection of inputs and outputs

Relation