Answer:
a. Compressed f toward the x-axis, and then translated it left 4 units.
Step-by-step explanation:
General equation for this is:
y = a√(x - h) + k
- a is how much it's being compress or stretched
- h is how much it's shifted in the x-direction
- k is how much it's being shifted in the y-direction
We're given:
g(x) = 1/2√(x + 4)
g(x) = 1/2√(x - (-4))
My a-value is 1/2, so the original function f(x) is being compressed by 1/2 toward the x-axis.
My h value is -4 so it's being shifted by 4 units. It's shifted to the left because it's negative.
There is not k-value so nothing is shifted in the y-direction.
Answer:
-6 = m (i'll show my work below)
Step-by-step explanation:
-6(m-7) + 7 = -8m + 37
-6m + 42 + 7 = -8m + 37
-6m + 49 = -8m +37
-37 = -37
-6m + 12 = -8m
+6m = +6m
12 = -2m
/-2 = /-2
-6 = m
Answer:
263.12 radians
Step-by-step explanation:
The length of the rear wheel is given by:
The distance traveled by the lawn tractor in 23 seconds is:
The angle through which a wheel rotates is given by:
The wheel rotates through a 263.12 radians angle.
Answer:
226.24
Step-by-step explanation:
