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:
No solution
Step-by-step explanation:
Let's solve this system using elimination through addition/subtraction. Multiply the second equation by (1/2), which results in the system
y - 4x = 5
4x - y = 8
--------------
0x + 0y = 13. This is NEVER true. This system of equation has NO SOLUTION.
It's the 2,7,3,2 one or the third one
Let the position of the airport be A, the point 160 miles north be B, and the point 85 miles east of that (i.e. the location of the plane) be C. Then ABC forms a right-angled triangle.
<span>tan BAC = 85/160 </span>
<span>BAC = arctan (85/160) </span>
<span>= arctan 0.531 (approx.) </span>
<span>= 27.98° (approx.) </span>
<span>So C is N 27.98° E from A. </span>
<span>The plane should fly S 27.98° W to get to the airport.
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