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IgorC [24]
3 years ago
12

Below are several points on the graph of a polynomial. Which of the following statements are true about the graph of this polyno

mial?
Mathematics
1 answer:
FinnZ [79.3K]3 years ago
4 0

Notice that we need to look for the intervals of x and also for the intervals of y.<span> We can observe that t</span>here is a minimum between x = 0 and x = 1 because the graph is descending and then ascending and also the graph has a maximum value between y = -3 and y = -1.

You might be interested in
3.) Write the equation of a quadratic function that is shifted down 4 and horizontally compressed by 1/5
sashaice [31]

Answer:

5x^2 - 4

Step-by-step explanation:

For shifted down a function you have to follow the next structured:

f(x) - c

In our case is:

x^2 - 4

Now for compressed or shrink a graph you have to multiply by a factor in the input something like this:

f(cx)

In our case is:

5x^2

Maybe you can think, why 5 and not \frac{1}{5} instead?. Well, when you multiply by \frac{1}{5} this dilate or stretch the graft because the output of each value is smaller, example:

f(x) = x^2\\g(x) = \frac{1}{5} x^2

Then evaluate for a number, for example 5:

f(5) = 25\\g(5) = 5

the output of g(x) is 5 steps a far from the answer of f(x) this in a graph is illustrate as a stretching.

So the opposite happen when you multiply by a integer number, the graph is compressed because the output take the "faster steps".

So combine the two transformation and get 5x^2 - 4

8 0
2 years ago
Suppose a triangle has two sides of length 32 and 35, and that the angle between these two sides is 120. What is the length of t
Naily [24]
You would need to use the Law of Cosines.

c^2=a^2+b^2-2abcosC

In this case:

c=√(32^2+35^2-2*32*35cos120)

c≈58.04 units
6 0
3 years ago
Use implicit differentiation to find the points where the circle defined by x^2+y^2−6x−4y=-4 has horizontal and vertical tangent
Inga [223]
Implicit differentiation: 2x+2ydy/dx-6-4dy/dx=0. When dy/dx=0, we have a horizontal tangent.
So 2x-6=0 and x=3. To find y we solve 9+y²-18-4y=-4, y²-4y-5=0=(y-5)(y+1), so the points are (3,5) and (3,-1).
2xdx/dy+2y-6dx/dy-4=0. When dx/dy=0 we have a vertical tangent, so 2y=4, y=2, and x²+4-6x-8=-4, x²-6x=0, x=0 and 6.
The points are (0,2) and (6,2).
8 0
4 years ago
What is 30/78 simplified
Anton [14]
30/78 simplified is 15/39
3 0
3 years ago
Please help me on my math , I need help :(
vivado [14]

Answer:

ask sombody else

Step-by-step explanation:

guess we dont

3 0
3 years ago
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