Ava is making punch for the entire class. She mixed 3 gallons of lemonade with every 7 gallons of Hawaiian Fruit Punch to make t
2 answers:
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Answer:
A.
Step-by-step explanation:
The options are:
For this exercise it is important to remember that, by definition, the Exponential parent functions have the form shown below:
Where "a" is the base.
There are several transformations for a function f(x), some of those transformations are shown below:
1. If and
, then the function is stretched vertically by a factor of "b".
2. If and
, then the function is compressed vertically by a factor of "b"
Therefore, based on the information given above, you can identify that the function that represents a vertical stretch of an Exponential function, is the one given in the Option A. This is:
Where the factor is:
And
Answer and Step-by-step explanation:
The parent function, f(x) = |x|, has no transformations applied to it.
When the number is with the x, it translates the graph horizontally. <->
When the number is outside of the absolute box, it translates the graph vertically. ^ V
When the number is multiply the absolute box on the outside with the x inside, it scales the graph.
So, first lets apply the translations of horizontal and vertical shift.
The graph translated 1 units downwards.
The graph translates 2 units to the right.
g(x) = |x - 2| - 1
We subtract the 2 because that makes it go right, while if we added it would go left.
Now for the scale.
The lines have a slope of , so that is what we are multiplying.
<u> g(x) = </u><u>|x - 2| - 1</u>
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<u>^That is your transformed function.</u>
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