1 is 10 dimes that is what I’ll do
We have been given a parent function
and we need to transform this function into
.
We will be required to use three transformations to obtain the required function from
.
First transformation would be to shift the graph to the right by 4 units. Upon using this transformation, the function will change to
.
Second transformation would be to compress the graph vertically by half. Upon using the second transformation, the new function becomes
.
Third transformation would be to shift the graph upwards by 5 units. Upon using this last transformation, we get the new function as
.
Answer: f(g(x)) = x - 2
<u>Step-by-step explanation:</u>
f(x) = x + 2
g(x) = x - 4
f(g(x)) = f(x - 4) = (x - 4) + 2 <em>replaced x with x - 4</em>
= x - 2 <em>simplified</em>
The answer is B, C, and D. Like terms are terms with all the same variable, so 5x and -x are like terms.
C is correct. If we add -x to 5x, we get 4x. The other numbers remain unchanged because they have no like terms.
D is correct. Applying the rule of like terms, which is that like terms are numbers with the same variable, only add together numbers with the same variable.
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