 # 2 Linear Algebra Questions

## Question

First problem: f(x) = 4
Second problem: x = (y+2)²
First, graph functions to clearly describe the graphs in the discussion. The graph itself is not required, although the discussion of the graph is required. Make sure there are five points for each equation to graph. Show all math work for finding the points.
Mention any key points on the graphs, including intercepts, vertex, or start/end points. (Points with decimal values need not be listed, as they might be found in a square root function. Stick to integer value points.)
Discuss the general shape and location of each graph.
State the domain and range for each equation. Write them in interval notation.
State whether each of the equations is a function or not giving reasons for the answer.
Select one of the graphs and assume it has been shifted three units upward and four units to the left.
Discuss how this transformation affects the equation by rewriting the equation to incorporate those numbers.
Incorporate the following five math vocabulary words into your discussion. Use bold font to emphasize the words in your writing (Do not write definitions for the words; use them appropriately in sentences describing the thought behind your math work.):
Function
Relation
Vertical Line test
Transformation

## Solution Preview

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The graph of the function f(x)=4 is the same as the graph of the function   y=4, which is horizontal line shown on picture. Our function is the special case of linear function where m=0 and b=4. It is a constant function....
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