Step 1:
Write the function
a)
To find the y-intercept, plug x = 0 and to find the x-intercept, plug y = 0
b) To graph the function, you will need to find the vertex, the global maximum.
The extreme point is ( 2 , -1 )
Global maximum = ( 2 , -1 )
So you can graph the function using y-intercept (0, -13) and the global maximum (2 , -1)
c)
The graph undergoes the following transformation
1. stretched by a factor of 3
2. Then reflect over the x-axis
3. Then shift to the right by a factor of 2 units
4. The finally shift vertically downward by 1 unit
d)
e)