Math Problem Statement
/graph the function y = f(x)+ 2
Solution
To graph the function , follow these steps:
-
Start with the graph of :
- This is the original function you are given. You can plot this function first, if known.
-
Apply the vertical shift:
- The function represents a vertical shift of the graph of by 2 units upward. This means every point on the graph of will move 2 units higher on the y-axis.
For example, if the original point on the graph of was , then after the transformation it will become .
If you want me to visualize a specific graph for , you can describe the function , and I can provide the graph of as well.
Would you like further details or any specific function for ?
Here are 5 relative questions based on this topic:
- What is the general effect of shifting a graph vertically or horizontally?
- How does the transformation affect the symmetry of the original function?
- What are the differences between vertical and horizontal shifts?
- How would transform the graph of ?
- How can vertical shifts affect the domain and range of a function?
Tip: Shifting a function vertically by adding or subtracting a constant does not change the x-values; it only alters the y-values of the graph.
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Math Problem Analysis
Mathematical Concepts
Functions
Graph Transformations
Vertical Shifts
Formulas
y = f(x) + k (Vertical Shift Formula)
Theorems
Transformation of Functions
Suitable Grade Level
Grades 9-12
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