Math Problem Statement
Draw a graph of the function y=1/3f(x-3)-5
Solution
The function given is , which represents a transformed version of a function . The transformation consists of:
- Horizontal Shift: shifts the graph 3 units to the right.
- Vertical Scaling: The factor compresses the graph vertically by a factor of 3.
- Vertical Shift: The moves the entire graph down by 5 units.
To draw the graph, I would need more details about the specific function . If is not defined, I can draw a general sketch based on the transformations of any standard function. Should I proceed with a specific type of function, like (parabola), or do you have another function in mind?
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Math Problem Analysis
Mathematical Concepts
Function Transformations
Horizontal Shift
Vertical Scaling
Vertical Shift
Formulas
y = (1/3)f(x - 3) - 5
Theorems
-
Suitable Grade Level
Grades 9-11