Answer:
Step-by-step explanation:
Use the midpoint formula:
So, the Change In X is 2-8 = -6
And the Change in Y is 7-4 = 3
Once you divide both of the changes by 2, you get
X: -3
Y:
So the midpoint is:
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2 answers:
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Answer: Third option.
Step-by-step explanation:
These are some transformations for a function f(x):
If , then the function is shifted down "k" units.
If , then the function is shifted right "k" units.
Knowing this we can describe the transformation from the graph of the function to the graph of the function
. This is:
The function is the function
but shifted right 3 units and shifted down 1 units.
Therefore, the correct option is the third one.
<u>Complete question:</u>
Refer the attached diagram
<u>Answer:</u>
In reference to the attached figure, (-∞, 2) is the value where (f-g) (x) negative.
<u>Step-by-step explanation:</u>
From the attached figure, it shows that given data:
f (x) = x – 3
g (x) = - 0.5 x
To Find: At what interval the value of (f-g) (x) negative
So, first we need to calculate the (f-g) (x)
(f – g ) (x) = f (x) – g (x) = x-3 - (- 0.5 x)
⇒ (f - g) (x) =1.5 x - 3
Now we are supposed to find the interval for which (f-g) (x) is negative.
⇒ (f - g) (x) = x - 3+ 0.5 x = 1.5 x – 3 < 0
⇒ 1.5 x – 3 < 0
⇒ 1.5 x < 3
⇒
⇒ x < 2
Thus for (f - g) (x) negative x must be less than 2. Thereby, the interval is (-∞, 2). Function is negative when graph line lies below the x - axis.
