Question 4 (10 points) (05.06 HC)
The coordinate plane below represents a community, Points A through Fare houses in the community
A
D
5
E
3
2.
С
1
D
2
3
4 5
6
-6 5 4 6 -2
B
Part A: Using the graph above create a system of inequalities that only contains points C and F the overlapping shaded regions. Explain
how the lines will be graphed and shaded on the coordinate grid above. (5 points)
Part B: Explain how to verify that the points C and F are solutions to the system of inequalities created in Part A (3 points)
Part C: Erica wants to live in the area defined byy < 7x - 4. Explain how you can identify the houses in which Erica is interested in living (2)
points)
(10 points)

1

step-by-step explanation:

it's the only multiple of both and the least

-6 is the correct option from the above given options

i belive those are the ones that are under 90 degreese.

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1