how can you tell the difference between a systems word problem that will be in standard form and s systems word problem that req
1 answer:
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The two transformations are reflection across the x-axis and translation 8 units down
Step-by-step explanation:
Let us revise some transformations
- If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
- If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)
- If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
- If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k
∵ f(x) =
∵ f(x) is transformed into the function g(x)
∵ g(x) = - 8
- The negative sign in front of means f(x) becomes
-f(x), so f(x) is reflected across the x-axis as the 1st rule above
∴ f(x) is reflected across the x-axis
- Then 8 is subtracted from , that means -f(x)
becomes -f(x) - 8, so -f(x) is translated 8 units down as the 4th
rule above
∴ f(x) then translated 8 units down
The two transformations are reflection across the x-axis and translation 8 units down
The graph of g(x) is the image of the graph of f(x) by reflection across the x-axis and then translation 8 units down
Look for the attached graph which represents f(x) and g(x)
The red graph is reflected across the x-axis the part of the graph over the x-axis becomes under the x-axis and the part of the graph under the x-axis becomes over the x-axis and then the graph translated 8 units down represented by the blue graph
Learn more:
You can learn more about transformation in brainly.com/question/5563823
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