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Bmurphy17
25.09.2020 •
Mathematics
What are the transformations? f left parenthesis x right parenthesis space equals negative 3 left parenthesis x minus 4 right parenthesis squared plus 3
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Ответ:
The graph of the functions moves 4 units right, 3 units up stretches vertically by a factor of 3 and reflects horizontally.
Step-by-step explanation:
In order to find the function transformations, we must first determine what the base function is:
Next, we need to determine how the function is being affected by the transformations.
When the graph of the function moves 4 units right, we mus subtract 4 units from x, so the function looks like this then:
If we need to stretch it vertically by a factor of 3, we need to multiply the function by 3:
If we need to reflect it horizontally, then we turn the 3 into a negative so we get:
And finally, if we wanted to move the graph up by 3 units, then we need to add 3 units to the whole graph, so we get:
in the attached picture you will be able to see the graph of the base function with all the transformations.
Ответ: