Which factorization is equivalent to this expression?
1 answer:
Answer:
Step-by-step explanation:
we have the expression:
To factor this expression we need to indentify the components that are common in both terms.
At first glance there is nothing in common, but we can notice that 30 and 70 are multiples of 10, that is:
so we can substitute this into the expression:
and now that we have the common term (the number 10) we can factorize it, that is, take out the common term and include a parentheses:
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For this case we have that the main function is given by:
We apply the following transformations:
Vertical expansions:
To graph y = a * f (x)
If a> 1, the graph of y = f (x) is expanded vertically by a factor a.
For a = 5 we have:
Vertical translations:
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
For k = 5 we have:
Answer:
The graph of g (x) is the graph of f (x) stretched vertically by a factor of 5 and translated up 5 units.