Term
|
Definition
|
|
Term
|
Definition
|
|
Term
|
Definition
Quadratic Function
[image] |
|
|
Term
|
Definition
|
|
Term
|
Definition
Square Root Function
[image] |
|
|
Term
|
Definition
Cube Root Function
[image] |
|
|
Term
|
Definition
Absolute Value Function
[image] |
|
|
Term
|
Definition
|
|
Term
|
Definition
Exponential Function
[image] |
|
|
Term
| What are examples of things that you can do to change the appearance of one side of an equation? |
|
Definition
1) Simplify
2) Distribute
3) Add 0
4) Multiply by 1 |
|
|
Term
What is the equation of the translated graph?
[image] |
|
Definition
|
|
Term
What is the equation of the following graph?
[image] |
|
Definition
|
|
Term
What is the equation of the translated graph?
[image] |
|
Definition
|
|
Term
What is the equation of the translated graph?
[image] |
|
Definition
|
|
Term
What is the equation of the translated graph?
[image] |
|
Definition
|
|
Term
What is the equation of the following graph?
[image] |
|
Definition
|
|
Term
Which direction is this function being moved?
f(x) + c |
|
Definition
|
|
Term
Which direction is this function being moved?
f(x) - c |
|
Definition
|
|
Term
Which direction is this function being moved?
f(x - c) |
|
Definition
|
|
Term
Which direction is this function being moved?
f(x + c) |
|
Definition
|
|
Term
If f(x) = x2, what is the function of the graph in red (the translation), in terms of f(x)?
[image] |
|
Definition
|
|
Term
If f(x) = x2, what is the function of the graph in red (the translation), in terms of f(x)?
[image] |
|
Definition
|
|
Term
If f(x) = x2, what is the function of the graph in red (the translation), in terms of f(x)?
[image] |
|
Definition
|
|
Term
If f(x) = x2, what is the function of the graph in red (the translation), in terms of f(x)?
[image] |
|
Definition
|
|
Term
| What is the domain of a function? |
|
Definition
| The domain of a function is the set of all possible inputs. |
|
|
Term
| What is the range of a function? |
|
Definition
| The range of a function is the set of all possible outputs. |
|
|
Term
| What is the relationship between the input and output of a function? |
|
Definition
| The output is a function of the input. |
|
|
Term
| What is the vertical intercept of a function? |
|
Definition
| The vertical intercept of a function is where the graph crosses the vertical axis. |
|
|
Term
| What is the horizontal intercept of a function? |
|
Definition
| The horizontal intercept of a function is where the graph crosses the horizontal axis. |
|
|
Term
| How do you find the vertical intercept of a function? |
|
Definition
| In order to find the vertical intercept of a function, you substitute 0 for the input and find the output. |
|
|
Term
| How do you find the horizontal intercept of a function? |
|
Definition
| In order to find the horizontal intercept of a function, you substitute 0 for the output and solve for the input. |
|
|
Term
| Given the symbol f(x), what variable is the input? |
|
Definition
|
|
Term
| Given the symbol f(x), what is the output? |
|
Definition
|
|
Term
| What does the symbol f(3) represent? |
|
Definition
| f(3) represents the output of the function f(x) when the input is 3. |
|
|
Term
How is this function being transformed?
-f(x) |
|
Definition
|
|
Term
How is this function being transformed?
2f(x) |
|
Definition
|
|
Term
Identify all the transformations and the order in which they should be applied:
-2f(x-3)-4 |
|
Definition
1) Vertically Reflected
2) Vertically Stretched
3) Horizontally Translated to the right 3
4) Vertically Translated down 4 |
|
|
Term
| What makes a linear function unique? |
|
Definition
| Linear functions have a constant rate of change. |
|
|
Term
| Name two ways of finding the rate of change of a linear function, given the equation. |
|
Definition
| You can either use the average rate of change formula or you can identify the vertical dilation factor. |
|
|
Term
| Linear functions are transformations of what two types of functions? |
|
Definition
| Linear functions are transformations of the identity function or constant function. |
|
|
Term
| What is the solution to an equation? |
|
Definition
| The solution to an equation is the values of the variables that make the equation true. If there are two variables, the solution is also a point on the graph. |
|
|
Term
| Name two methods for graphing a linear function that is written in Standard Form. |
|
Definition
| You can either use the intercept method or you can change the function to slope-intercept form. |
|
|
Term
| How do you change a linear function from standard form to slope intercept form. |
|
Definition
|
|
Term
| Explain how to use the intercept method to graph a linear function. |
|
Definition
1) Find the horizontal and vertical intercepts by substituting 0 for y and x (separately).
2) Draw the line between the two intercepts. |
|
|
Term
| What is the solution to a system of equations? |
|
Definition
| The solution to a system of equations is the values of the variables that make both equations true and is the point of intersection. |
|
|
Term
| What are the methods for solving a system of equations? |
|
Definition
| You can either use subtitution, elimnination, or you can graph the system? |
|
|
