Explain how you could graph each function by applying transformations.
(a)
(b)
(c)
Explain how you could graph each function by applying transformations.
(a)
(b)
(c)
(a)
Consider the given function
To find the transformation of the graph of the given function
First, draw the graph of the following function
Now, take horizontal shift right 2 units of the above
So,
Again, take vertical shift up by 7 units of the above
So,
Hence, above are the required transformations.
(b)
Consider the given function
To find the transformation of the graph of the given function
Hence, the required transformations for the graph of the given function are reflection and dilation.
(c)
Consider the given function
To find the transformation of the graph of the given function
Hence, the required transformations for the graph of the given function are dilation by scaling factor 3 units, reflection about the y-axis, and vertical shift down 5 units