At what depth in the ocean are aquatic plants able to produce the most sugar using photosynthesis?

1 answer:

ivann1987 [24]3 years ago

6 0

In the process of photosynthesis, one of the most important ingredient would be sunlight. Therefore, those aquatic plants that are near the surface would be able to produce the most sugar. This is because they can easily absorb sunlight compared to those that are located deeper in the water. Hope this helps.

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Which transformations have been applied to the graph of f(x) = x2 to produce the graph of g(x) = –5x2 + 100x – 450? Check all th

madam [21]

Consider the function $g(x) =-5x^2 + 100x- 450$ . First you need to simplify it by expressing the perfect square:

$g(x) =-5x^2 + 100x- 450=-5(x^2-20x+90)=-5(x^2-2\cdot x\cdot 10+10^2-10^2+90)=-5((x-10)^2-100+90)=-5(x-10)^2+50.$

So you get $g(x) =-5(x-10)^2+50$ .

Now you can consider all transformations that have been applied to the graph of $f(x) = x^2$ to produce the graph of g(x):

translate the graph of the function $f(x)$ right 10 units - this transformation gives you the graph of the function $f_1(x)=(x-10)^2$ ;
reflect graph of the function $f_1(x)$ about the x-axis. This transformation gives you the graph of the function $f_2(x)=-(x-10)^2$ ;
stretch the graph of the function $f_2(x)$ in the y-direction by multiplying the whole function by 5, then you get the function $f_3(x)=-5(x-10)^2$ ;
translate the graph of the function $f_3(x)$ up 50 units, then you get the graph of the function $g(x) =-5(x-10)^2+50$ .