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:
The correct answer is option A. 90°
Step-by-step explanation:
<u>Points to remember</u>
Measure of angles on the semicircle is 90°
From the figure we can see a semicircle and a triangle inscribes on it.
<u>To find the measure of <XYZ</u>
Here <XYZ is on the semicircle that is angle XYZ is a right angle.
Therefore m<XYZ = 90°
The correct answer is option A. 90°
Answer:
Step-by-step explanation:
The real part does not have i as a multiplier. It is 23.3.
The imaginary part* is the coefficient of i: 44.
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* There is some disagreement as to whether the imaginary part includes i or not. One source says the imaginary part is the part that has i as a factor (44i). Another source says the imaginary part is the real number that multiplies i (44). Above, we have used the latter definition. Please consult your curriculum materials for the definition you should use.
