. Given the following function f(x) = 2 log[(x + 2)] − 5 a) List the transformations that have been applied to the parent function y = log x = 2 log[-(x + 2)] − 5 b) Sketching the graph f(x) = i) State the domain and range. ii) State whether there are any asymptotes. If there are, state the equations for all asymptotes. iii) Sketch the graph by using the mapping rule for this transformation function, showing both the parent function key points and the corresponding transformed points.
Pls help ASAP on both
![2. Given the following function f(x) = 2 log [− (x + 2)]-5
a) List the transformations that have been applied to the parent function y = log x
b) Sketching the graph f(x) = 2 log[(x+2)]-5
i) State the domain and range.
ii) State whether there are any asymptotes. If there are, state the equations for all asymptotes.
iii) Sketch the graph by using the mapping rule for this transformation function, showing both the parent function
key points and the corresponding transformed points.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5974d182-69dd-492b-b0a6-6672f4ac054c%2Fa903197e-9fb2-41bd-85b8-fddd63acfd56%2Fcixgz7f_processed.png&w=3840&q=75)
Here are some rules to transform the given graph of function.
f(x + a) horizontally shift the graph of f(x)left by a units
f(x - a) horizontally shift the graph of f(x) right by a units
f(x)+ a vertically shift the graph of f(x) upward by a units
f(x)- a vertically shift the graph of f(x) downwards by a units
af(x) vertically stretches the graph of f(x) by a factor of a units
1/a f(x) vertically shrink the graph of f(x) by a factor of a units
f(ax) horizontally shrink the graph of f(x) by a factor of a units
f(x/a) horizontally stretch the graph of f(x)by a factor of a units
-f(x) represents the reflection of the graph of f(x) over the x axis.
f(-x) represents the reflection of the graph of f(x) over the y axis
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