Transformations Investigated Graphically and Algebraically
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Use transformations of f(x)=x^2 to graph the following function
1. g(x)=x^2+3
2. g(x)=(x-4)^2+4
3. g(x)=4(x+3)^2-2
4. g(x)=-3(x+5)^2+3
Find the function that is finally graphed the following transformations are applied to the graph of y=sqrt of x in the order listed
1. shift up 9 units
2. Reflect about the x-axis
3. Reflect y-axis
y=
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Solution Summary
1. Given 5 functions, this solution shows how to use Excel to graph each function.
2. Given 3 transformations of a function, this solution shows how to find the new function after the transformations have been applied.
Solution Preview
See the attached file for the graphs. The transformations are:
1. Shift up by 3
2. Shift right by 4 and up by 4
3. Shift left by 3, stretch vertically by a factor of 4 and shift down by 2
4. Shift left by 5, ...
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