Graphing Standard Form
Standard Form
A quadratic function in standard form is written .
What point is given to you by the standard form? HEADS UP! When you check your answers for multiple choice questions, the correct answer will be highlighted with a green stripe. Green checkmarks mean you were correct for NOT picking it. Confused me too!
Question
What are the other 4 points you need?
Create a table in your notes with 5 columns titled: function, a, b, c, vertex, y-intercept and x-intercept(s). Record the function, a, b, c, then turn on its graph and record the rest of the information. I did the first one for you.
| Function | a= | b= | c= | vertex | y-intercept | x-intercept(s) |
| | 1 | 0 | 0 | (0,0) | (0,0) | (0,0) |
| | | | | | | |
| | | | | | | |
Which coefficient was the same for all four functions and what was its value?
How many different points did you get for each function?
Closure Question
If you only have 1 point and you need 5 points, how do you get the other four points?
Vertex
Which of the following formulas is used to find the Axis of Symmetry and the x coordinate of the vertex?
What can you conclude about graphing a quadratic function that has a b coefficient equal to zero?