Let f(x)=2x and g(x)=2x+4+8 .
2 answers:
Answer:
Horizontal translation of 4 units left
vertical translation of 8 units up
Step-by-step explanation:
f(x)= 2^x and
To get the graph of g(X) from f(x) we do transformations
f(x)-----> f(x)+a, when any number added at the end of f(x) then there will be a vertical translation by 'a' units (up or down)
f(x)-----> f(x+a), when any number added with x inside f(x) then there will be a horizontal translation by 'a' units (left or right)
f(x)= 2^x
f(x) = 2^(x+4) , 4 is added with x
So Horizontal translation of 4 units left
Now we add 8 at the end to get g(x)
so vertical translation of 8 units up
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Answer:
<u>24 meters</u> is the width of the original rectangle.
Step-by-step explanation:
Given:
Bobby knows that the perimeter of the original rectangle is 120 meters. He also knows that the perimeter of the reduced rectangle is 30 meters and the reduced rectangle has a length of 9 meters.
Now, to get the width of original rectangle.
The reduced rectangle's perimeter = 30 meters.
The reduced rectangle's length = 9 meters.
Now, we find the width of reduced rectangle by using formula:
Let the width of reduced rectangle be
<em>Subtracting both sides by 18 we get:</em>
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<em>Dividing both sides by 2 we get:</em>
The width of reduced rectangle = 6 meters.
Now, to get the width of original rectangle:
Let the width of original rectangle be
<em>As given, the perimeter of the original rectangle = 120 meters.</em>
<em>And, the perimeter of reduced rectangle is 30 meters and its width is 6 meters.</em>
<em>So, 30 is equivalent to 6.</em>
<em>Thus, 120 is equivalent to </em><em />
Now, to get the width using cross multiplication method:
<em>By cross multiplying we get:</em>
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<em>Dividing both sides by 30 we get:</em>
<em /><em />
<em>The width of original rectangle = 24 meters.</em>
Therefore, 24 meters is the width of the original rectangle.