The function g(x) is a translation to the right of 3 units and up 2 units of f(x), so the correct option is B.
<h3>Which statement is true regarding the vertical and horizontal translations from f(x) to g(x)?</h3>
For a given function f(x), we can write a vertical translation of n units as:
g(x) = f(x) + n
- If n < 0, the translation is downwards.
- if n > 0, the translation is upwards.
And a horizontal translation of n units as:
g(x) = f(x + n).
- if n > 0, the translation is to the left.
- if n < 0, the translation is to the right.
Here we have:
f(x) = (2/3)*x
g(x) = (2/3)*(x - 3) + 2
By comparing it with the general translations, we conclude that we have a traslation of 3 units to the right and 2 units up.
So the correct option is B.
If you want to learn more about translations:
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Answer:
I think it is G
Step-by-step explanation:
So ya see, it really does peak at the given times.
Step-by-step explanation:
7+8+9=24
second integer is 8 so 8*3=24
Q.34
The infinite geometric series is converges if |r| < 1.
We have r =1.002 > 1, therefore our infinite geometric series is Diverges
Answer: c. Diverges, sum not exist.
Q.35
The infinite geometric series is converges if |r| < 1.
We have r = 4/5 < 1, therefore our infinite geometric series is converges.
The sum S of an infinite geometric series with |r| < 1 is given by the formula :
We have:
substitute:
Answer: c. Converges, -25.
Recall that sin(π/2) = 1, and cos(π/2) = 0,
