A particular car gets fuel mileage of 36 mpg in the city and 12% more on the highway.
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We have been given a parent function and we need to transform this function into
.
We will be required to use three transformations to obtain the required function from .
First transformation would be to shift the graph to the right by 4 units. Upon using this transformation, the function will change to .
Second transformation would be to compress the graph vertically by half. Upon using the second transformation, the new function becomes .
Third transformation would be to shift the graph upwards by 5 units. Upon using this last transformation, we get the new function as .
Answer:
Step-by-step explanation:
The area of a rectangle can be calculated with this formula:
Where "l" is the length and "w" is the width.
You can identify from the figure that the length and the width of this rectangle are:
Then, you need to substitute this lenght and this width into :
Now, apply Distributive property:
Finally, you need to add the like terms. Then, you get: