According with the definition of translation, we conclude that the equations of graphs M and N are m(x) = f(x - 5) and n(x) = f(x) - 2, respectively.
<h3>How to apply translations on a given function</h3>
<em>Rigid</em> transformations are transformation such that the <em>Euclidean</em> distance of every point of a function is conserved. Translations are a kind of <em>rigid</em> transformations and there are two basic forms of translations:
Horizontal translation
g(x) = f(x - k), k ∈ (1)
Where the translation goes <em>rightwards</em> for k > 0.
Vertical translation
g(x) = f(x) + k, k ∈ (2)
Where the translation goes <em>upwards</em> for k > 0.
According with the definition of translation, we conclude that the equations of graphs M and N are m(x) = f(x - 5) and n(x) = f(x) - 2, respectively.
To learn more on translations: brainly.com/question/17485121
#SPJ1
Answer:
The equation that matches the function shown is option;
C.
Step-by-step explanation:
The given graph of the function is a sinusoidal graph
The values of 'x' and 'y' coordinates at the maximum, x-intercept and minimum points are given as follows;
x, y
0 0
π 1
2·π 0
3·π -1
4·π 0
We note that sin(π/2) = 1, sin(π) = 0 sin(3·π/2) = -1, and sin(4·π/2) = sin(2·π) = 0
Therefore;
y = the sine of half the x-value
Which is presented as follows;
.
Answer:
"A is smaller"
Step-by-step explanation:
The full question is attached.
<u>Surface area of cylinder:</u>
The formula is
where r is the radius and h is the height
Here, radius would be 30 since balls have diameter 60 and radius is half of that.
Also height is the diameter of 4 balls line-by-line, so height is 60*4 = 240
Now, plugging into the formula, we get:
<u>Surface Area of rectangular prism:</u>
The surface area of rectangular prism is the area of all the rectangular surfaces (6 of them).
Area of top and bottom = (60+60)*(60+60) * 2 = 120*120 * 2 = 28,800
Area of 2 sides = 2 * (60*120) = 14,400
Area of front and back = 2 * (60*120) = 14,400
Total Surface Area = 28,800 + 14,400 + 14,400 = 57,600
Thus, cylinder has smaller surface area.
"A is smaller"
