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
80 i think because
Combine like terms: 28 + 12 = 40
0.5x = 40
Divide each side by '0.5'.
x = 80
Answer:
110.9 feet
Step-by-step explanation:
The function that models the flight of the ball is
where f(x) is the vertical distance in feet and x is the horizontal distance the ball travels
If the ball hits the ground, then f(x)=0
The solution is given by the quadratic formula:
We substitute a=-0.02, b=2.2, and c=2 to get:
This implies that:
Since we are dealing with time,
To one decimal place, we have 110.9 feet
Answer:
15
Step-by-step explanation:
mean means add all the numbers and divide them by how many there are
plot 1: 63 divided by 9 equals 7
plot 2: 330 divided by 15 equals 22
so now we need to subtract 22 minus 7 equals 15
hope this helps