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.
Answer:
we can draw the graph of cosine with amplitude 2.
Step-by-step explanation:
In the given function g(x) = 2cosx we know the following parameters which are helpful to draw the graph.
Its a cosine graph given in the form of y = acos(Bx + c) + d
Here a is amplitude, period = , c = phase shift, d = vertical shift
We know a = 2, B = , c = 0, d = 0.
Answer:
6
Step-by-step explanation:
5% of 120 were late
=
× 120
= 0.05 × 120
= 6