Simplify: 3x - 9 + 13x - 6
2 answers:
You can sum like terms. Two terms can be summed if they are both constants (i.e. pure numbers) or if they involve the same powers of the same variable.
In this case, 3x and 13x can be summed because they both involve 'x' alone. The sum is
As for the other two terms, you simply have to sum two numbers, as usual:
So, the final answer is
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Explanation
Given a function f(x) we translate the function:
• a units horizontally (a > 0 to the right, a < 0 to the left),
,• b units vertically (b > 0 up, b < 0 down),
by the transformation:
In this case, we have:
Comparing f(x) and g(x) with the general transformation above, we see that the graph of g(x) is the graph of f(x) translated:
• a = 2 units to the right,
,• b = 4 units up.
Translating the graph of f(x), we get:
AnswerThe translated graph is the graph in red:
Here’s a picture of my work. The answer is seven. Hope this helps :-)
