Answer:
It will become narrower/steeper
Step-by-step explanation:
To find out how the new parabola will behave, just substitute in numerous values for a and x.
Then compare this to the original graph and you will clearly be able to distinguish the differences between the two graphs.
Answer:
Part 1)
The possible multiplicities are:
multiplicity 1
multiplicity 3
multiplicity 1
multiplicity 2
Part 2
The factored form is
Step-by-step explanation:
Part 1.
The missing diagram is shown in the attachment.
The zeroes of the seventh degree polynomial are the x-intercepts of the graph.
From the graph, we have x-intercepts at:
, , , and .
The multiplicities tell us how many times a root repeats.
Also, even multiplicities will not cross their x-intercept, while odd multiplicities cross their x-intercepts.
The possible multiplicities are:
multiplicity 1
multiplicity 3
multiplicity 1
multiplicity 2
Note that the total multiplicity must equate the degree.
Part 2)
According to the factor theorem, if 
is a zero of p(x), then 
is a factor.
Using the multiplicities , we can write the factors as:
Therefore the completely factored form of this seventh degree polynomial is
Answer:
Crafts books: 7
Cookbooks: 13
Step-by-step explanation:
Let x be the crafts book
Let y be the cookbooks
Solve for x:
- Plug x and y in: x + y = 20
- Re-write: y = x + 6
- Plug in x + 6 instead of y: x + x + 6 = 20
- Combine like terms: 2x + 6 = 20
- Subtract 6 from each side, so it now looks like this: 2x = 14
- Divide each side by 2 to cancel out the 2 next to x. It should now look like this: x = 7
Solve for y:
- Re-use an equation from above: y = x + 6
- Plug in the value of x: y = 7 + 6
- 7 + 6 = 13
- So, y = 13
I hope this helps!
You would place the answer in quadrent 4
