Answer:
g(x) = e^(x + 2) + 2
Step-by-step explanation:
First, let's describe the shifts.
Vertical shift.
For a function f(x), a vertical shift of N units is written as:
g(x) = f(x) + N
If N is positive, then the shift is upwards.
If N is negative, then the shift is downwards.
Horizontal shift.
For a function f(x), a horizontal shift of N units is written as:
g(x) = f(x - N)
If N is positive, the translation is to the right
If N is negative, the translation is to the left.
Now let's solve the question.
f(x) = e^x
First, we have a vertical shift up of 2 units, then:
g(x) = f(x) + 2
Now we have a shift to the left of 2 units:
g(x) = f(x - (-2)) + 2
g(x) = f(x + 2) + 2
Then:
g(x) = e^(x + 2) + 2
Answer:
(4,-2.5)
Step-by-step explanation:
first one is x cordination...it is under the 4
second one is Y cordination..its between -2 and -3
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Answer:
87/56
Step-by-step explanation:
Simplify the following:
3/56 + 3/2
Put 3/56 + 3/2 over the common denominator 56. 3/56 + 3/2 = 3/56 + (28×3)/56:
3/56 + (28×3)/56
28×3 = 84:
3/56 + 84/56
3/56 + 84/56 = (3 + 84)/56:
(3 + 84)/56
3 + 84 = 87:
Answer: 87/56
Answer:
6
Step-by-step explanation:
You can memorize these for the smaller shapes
for equilateral polygons:
triangle: 60
square: 90
pentagon: 108
hexagon: 120
Otherwise, I believe the formula is the total degrees in a polygon (s-2)*180 where s is the number of sides.
So the measure of each angle on average would be (s-2)*180/s.
There (s-2)*180/s = 120
180(s-2) = 120s
180s-360 = 120s
60s = 360
s = 6