Answer:
Step-by-step explanation:
The given function :
When we substitute x= -64, we get
Since ,
So,
That means
i.e.
Similarly, When we substitute x= 64, we get
Since ,
That means
i.e.
Answer:
y = 3f(-1/5x + 1/5)
The function is
- vertical stretched by a factor of 3
- reflected across y-axis
- horizontal stretched by a factor of 5
- horizontal translated to the left 1/5 units
Step-by-step explanation:
Starting with: y = f(x)
Replacing x with -1/5x: y = f(-1/5x)
Replacing x with x - 1: y = f(-1/5(x - 1)) = f(-1/5x + 1/5)
Replacing y with 1/3y: 1/3y = f(-1/5x + 1/5) or y = 3f(-1/5x + 1/5)
The transformation:
- kf(x) vertically stretches the function by a factor of k (here k is 3)
- f(-x) reflects the function across y-axis
- f(bx) horizontally stretches the function by a factor of 1/b (here b is 1/5)
- f(x + c) horizontally translates the function left c units (here c is 1/5 units)
Answer:
75
Step-by-step explanation:
7x3=21
5(21-6)
5(15)
75
The value of k is 400 points.
If the player fails to complete 100 tasks, then they lost 200 points. At the end of the game, they had 200 points.
We can write and solve the following equation to determine where they started.
x - 200 = 200
x = 400