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:
578.50
Step-by-step explanation:
The worker worked 40 hours at 13 dollars
40 * 13 =520
Then they worked 3 hours at 13(1.5) or 19.50
3*19.50 =58.5
The total amount of money earned is regular time plus overtime
520 + 58.5 =578.50
The volume of the <span>goldfish pool is V= 0.5ft x 1.5ft x 3ft=2.25 ft^3
so 7.5gallons ----------> 1 ft^3
x=? <----------- </span>2.25 ft^3
<span>x= 2.25 x 7.5 / 1= 16.87 gallons
the answer is </span>16.87 gallons of water <span>
</span>
Answer: It is a proportional relationship because a proportional relationship is known as a relationship between two quantities, in which the ratio of one quantity to the other quantity is constant.
Step-by-step explanation:
It is a it is symmetric on both sides and it’s peak is at 3
