To find the vertex of the parabola, we need to write it in a vertex form.
y=x² - 8x +12
1) complete the square
y=
x² - 8x +12
y =
x² -2*4x + 4² - 4² +12
y=
(x-4)² -16 +12
2) calculate and write a vertex
y=
(x-4)² -16 +12
y=
(x-4)² - 4
(x-4) ----- x- coordinate of the vertex x=4
y=(x-4)²
- 4 -------y- coordinate of the vertex y = - 4 Vertex is (4, -4).
Answer is (4, -4). No correct answer is given in choices.
Answer:
<u>Lower Upper Frequency</u>
1 6 2
7 12 4
13 18 7
19 24 1
25 30 4
Step-by-step explanation:
We sort the given data to get: 1,4,8,8,9,10,13,14,15,15,15,16,18,24,25,25,27,29
The range is 29-1=28
Class width=28/5=5.6
We round up to get 6
The lowest value is 1. Our lower class limits are:
1
7
13
19
25
The upper class limits are:
6
12
18
24
30
Now our frequency table is:
<u>Amount | Frequency</u>
1-6 2
7-12 4
13-18 7
19-24 1
25-30 4
Answer is B. 10.5. Hope this helps! :)
In order to answer this question you need the gradient which you can work out by using the formula, however without the graph I can’t tell if it is a negative or positive gradient.