Answer:
The function has been flipped due to the negative in front.
The function has been shifted 17 units to the left.
The function has been shifted 4.3 units down.
Step-by-step explanation:
When functions are transformed there are a few simple rules:
- Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
- Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
- Multiplying the function by a number less than 1 compresses it towards the x-axis.
- Multiplying the function by a number greater than 1 stretches it away from the x-axis.
- Multiplying by a negative flips the graph.
The graph of
compares to
in the following ways:
The function has been flipped due to the negative in front.
The function has been shifted 17 units to the left.
The function has been shifted 4.3 units down.
They do not mean the same thing:
4 in 4000 stands for 4 thousands
4 in 400 stands for 4 hundreds.
You can see, that first '4' means 4 000, while the second one means 400, so the first one is 10 times greater.
Pi/4 radians = 45 degrees
The terminal point is
((Sqrt2)/2 , (sqrt2)/2)