Question(a) The graph of is shown. Draw the graph of . (b) The graph of is shown. Draw the graph of .
Studdy Solution
STEP 1
1. The transformations involve reflections of the given graphs.
2. For part (a), the transformation applies to the function .
3. For part (b), the transformation applies to the function .
STEP 2
1. Analyze the transformation for .
2. Draw the graph of .
3. Analyze the transformation for .
4. Draw the graph of .
STEP 3
Analyze the transformation for :
- The transformation reflects the graph of across the -axis.
STEP 4
Draw the graph of :
- Reflect each point of the graph of across the -axis. For example, a point on becomes on .
- Since the original graph is a line with a positive slope, the reflected graph will be a line with a negative slope, starting from the bottom right and moving upwards to the left.
STEP 5
Analyze the transformation for :
- The transformation reflects the graph of across the -axis.
STEP 6
Draw the graph of :
- Reflect each point of the graph of across the -axis. For example, a point on becomes on .
- Since the original graph is a V-shaped graph with the vertex at the origin, the reflected graph will also be a V-shaped graph, but opening downwards.
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