if you vertically stretch the absolute value parent function, f(x)=IxI, by a factor of 3, which of these equations is the new fu
1 answer:
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Answer:
Step 4 - Reason 4: INVALID
Step-by-step explanation:
This problem is a typical case of solving an algebraic expression of one uknown variable, which here is denoted with .
Let us first rewrite all information denoted in the question as follow:
Given:
Step 1: Reason 1: <em>Given</em>
Step 2: Reason 2: <em>Addition Property of Equality</em>
Step 3: Reason 3: <em>Simplify</em>
Step 4: Reason 4: <em>Division Property of Equality</em>
Step 5: Reason 5: <em>Simplify</em>
Having obtained all solution steps we can conclude the following:
Step 1 - Reason 1: Valid because this is our given equation to be solved
Step 2 - Reason 2: Valid because this is a typical first step in such equations to eliminate our constants from the side (here the Left Hand Side) and have only our Uknown variables (in this case ).
Step 3 - Reason 3: Valid because we just compute the addition/subtractions on each side to simplify the expression
Step 4 - Reason 4: INVALID because at this point we already have one Unknown variable on the left and one constant on the right. So all we have to do is simplify the expression as it is. So here instead we should actually have:
⇔
⇔
⇔
⇔
OR we could also solve it as:
⇔
⇔
⇔
Which essentially is Step 5 - Reason 5: Valid because of the computations just above.