If 2a-b:2a+b=1:2find the value of a:b
1 answer:
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Answer:
The graph of the functions moves 4 units right, 3 units up stretches vertically by a factor of 3 and reflects horizontally.
Step-by-step explanation:
In order to find the function transformations, we must first determine what the base function is:
Next, we need to determine how the function is being affected by the transformations.
When the graph of the function moves 4 units right, we mus subtract 4 units from x, so the function looks like this then:
If we need to stretch it vertically by a factor of 3, we need to multiply the function by 3:
If we need to reflect it horizontally, then we turn the 3 into a negative so we get:
And finally, if we wanted to move the graph up by 3 units, then we need to add 3 units to the whole graph, so we get:
in the attached picture you will be able to see the graph of the base function with all the transformations.
Answer:
See explanation
Step-by-step explanation:
A. Gasoline fill-up fee = $4.50
Cost per hour = $40
Average cost = C
Number of hours the scootcar is rented = h
Cost per h hours = $40h
Total cost = $40h + $4.50
Hence,
C = 40h+4.5
B. To plot the graph of the function, find h- and C- intercepts.
When h = 0, then C = 4.5, and we have point (0,4.5)
When C = 0, then 0 = 40h + 4.5, h = -45/400 = -0.1125, and we have point (-0.1125,0)
Plot these two points and connect them with a straight line.
Graph is attached, but you should take only that part of the graph that corresponds to points with h > 0, because the number of hours cannot be negative
