Answer:
we know that if: (x, y) is a point of f(x):
This means that f(x) = y.
Then (x + 3, y + 1) is a point of g(x)
This means that:
g(x + 3) = y + 1
Then we have two shifts.
For a real and positive number A.
A horizontal shift of A units to the right can be written as:
f(x - A)
A vertical shift of A units up can be written as:
f(x) + A.
Then in this case we have:
An horiozontal shift of 3 units to the right, and a vertical shift of 1 unit up, this means that:
g(x') = f(x' - 3) + 1.
then evaluating this at x' = x + 3
g(x + 3) = f(x + 3 - 3) + 1 = f(x) + 1 = y + 1
That is what we had initially.
Answer:
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Step-by-step explanation:
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Largest 5-digit number is 54312 and is divisible by 6. The smallest 5 digit number is 12,345 and it's not divisible by 6
Answer:
Minimum: 3
Maximum: 13
Step-by-step explanation:
Georgia uses the equation
5 = |8 – x| to find the maximum and minimum values.
We solve the equation for x.
By the definition of the absolute value function, we must have:
We subtract 8 from both sides to get:
This simplifies to:
Therefore the minimum value is 3 and maximum is 13
4.5 x 6.2 = 27.9
Hope that helps
