Unit 6 Lesson 2: Graphing Quadratics/Linear Functions (Domain/Range/Shifts)
Linear Equations
• To graph a linear equation put in slope intercept form: y = mx + b or f(x) = mx + b
• “m” represents the ______________ = ______________
• “b” represents the __________________
• You can graph a linear equation by starting with the y-intercept. From this point use your
slope to find the next point.
• If your slope is ___________________: ______________________
• If you slope is ____________________: ______________________
Example 2) Graph 𝑓(𝑥) = −1/2𝑥 + 4
Example 1) Graph 𝑦 = 5𝑥 − 3
You Try 1)
You Try 2)
Domain/Range
Domain:
Range:
Quadratics
 Standard Form:
Domain:
Range:
Domain:
Range:
 Vertex Form:
• In standard form “C” is the __________________ (0, C)
• The _____________________of the _____________________and the
___________________________ can be found using x =
•
•
After you find the x-value of the vertex, plug in the ___________________ to find the
____________________
You can find the x-intercepts on the _____________________, ___________________, or using
the __________________________________________!
Example 1) Find the y-int/x-int(s), AOS, and
vertex…GRAPH!
f(x) = -x2 - 7x + 8
Example 2) Find the y-int/x-int(s), AOS, and
vertex…GRAPH! f(x) = 4x2 – 6x + 1
You Try) Find the y-int/x-int(s), AOS, and vertex…GRAPH!
Vertex Form
 A ______________________shift occurs when adding/subtracting ______________of the
parentheses
 A ______________________shift occurs when adding/subtracting ______________of the
parentheses
Examples: List the transformations for the quadratics in vertex form….
1)
2)
Example: Graph the original function and the transformed graph, and then list the
transformations…
You Try
List the transformations…
1)
2)
Graph the original function and the
transformed graph, and then list the
transformations…