What is the most common mistake most students make when learning how to shift a quadratic graph from the original parent graph?

Mathematics

1 answer:

77julia77 [94]3 years ago

5 0

Answer:

What do you mean

Step-by-step explanation:

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A rancher has 2 comma 200 feet of fencing to enclose a rectangular pig pen. However, one side of the pen lies along a river and

DiKsa [7]

Answer:

$A = 2200x - 2x^2$

Step-by-step explanation:

Let's x be the length of the side that is NOT the same as the side along the river (or in opposite). From the fencing perimeter of 2200ft we can calculate the other side y of the rectangular:

y = 2200 - 2x

The area A of the pen would be the product of the 2 sides

$A = xy = x(2200 - 2x) = 2200x - 2x^2$

7 0

3 years ago

Evaluating integral by net area

N76 [4]

The graph of $f(x)=2$ is a horizontal line. So the area under $f(x)$ on [0, 8] is equal to the area of a rectangle with length 8 and height 2, or 16.

The graph of $g(x)=\sqrt{64-x^2}$ is the upper half of a circle with radius $\sqrt{64}=8$ . It's symmetric about $x=0$ , so on the interval [0, 8], we're considering a quarter of the circle. The area of such a sector is $\frac{\pi 8^2}4=16\pi$ .