Given f(x)=3^(x-2) and g(x)=f(3x)+4, write the function rule for function g and describe the types of transformations that occur
2 answers:
Answer:
The function g(x) is + 4 and this is Translation Transformation .
Step-by-step explanation:
Given as :
The two functions f(x) and g(x) is as given
Function f(x) =
And g(x) = f(3 x) + 4
Now, for x = 3 x
The function f(x) can be written as
f(3 x) =
So, g(x) = + 4
<u>While plotting the function f(x) and g(x) on the graph , the points translate from one to other quadrant , so this is a type of TRANSLATION TRANSFORMATION . </u>
Hence The function g(x) is + 4 and this is Translation Transformation . Answer
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Answer:
Evening walk is shorter.
Step-by-step explanation:
We have been given that a nature center offers 2 guided walks. The morning walk is two-third mile. The evening walk is three-sixths mile. We are asked to find the shorter walk.
Let us compare both fractions by making the same denominator.
Upon making common denominator, we can see that two-thirds are equal to four sixths.
Since three-sixths is less than four-sixths, therefore, evening walk is shorter.
We will draw two rectangles, one with 6 sub-parts and other with three sub-parts.
We will shade 2 parts out of 3 sub-parts to represent 2/3 and shade 3 parts out of 6 sub-parts to represent 3/6.
Then we will further divide three sub-parts into 6 sub-parts as shown in the diagram that will represent 4/6.
