Answer:
There is a horizontal shift.
Step-by-step explanation:
Replacing x in a function formula with x - 8 moves the graph 8 units to the <u>right</u>.
In the attached image, y = sin(x) is light green, y = sin(x - 8) is dark green, and the arrows show how points on sin(x) get moved 8 units to the right.
The answer is 90 which is none of these
<span> Remember that what you must do for this case is to calculate the area of the parallelogram and add it to the area of the rectangle.
</span> Palelogram area:
Knowing the base and the height, the area of the parallelogram is calculated by its formula:
A1 = b * h
We have then
b = root ((- 4 - (- 10)) ^ 2+ (2-2) ^ 2) = 6
h = root ((- 7 - (- 7)) ^ 2+ (3-2) ^ 2) = 1
A1 = (6) * (1) = 6 units ^ 2
Rectangle area
A2 = L * W
We have then:
L = root ((1 - (- 2)) ^ 2 + (- 3 - (- 4)) ^ 2) = 3.16227766
W = root ((- 4 - (- 2)) ^ 2+ (2 - (- 4)) ^ 2) = 6.32455532
A2 = (3.16227766) * (6.32455532)
A2 = 20 units ^ 2
The total area is the sum of both ares:
A = A1 + A2
A = 6 + 20
A = 26 units ^ 2
Answer:
the area of this figure
A = 26 units ^ 2
Answer:
Step-by-step explanation:
Assuming that you meant 6(7x - x), we get: 6(6x) = 36x
Answer:
h(x) = - 2x² + 3
Step-by-step explanation:
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here the shift is 7 units up , then
h(x) = f(x) + 7 = - 2x² - 4 + 7 = - 2x² + 3