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:
Step-by-step explanation:
y=3/2x-5
Ax^2 = bx Divide by x
ax^2/x = b
ax^(2 -1) = b
ax = b Divide by a
x = b/a
5 <<<< Answer.
x≠0
a≠0
For R6 and L6, t= (3- 0) / 6= 0.5. For M3, t= (3- 0)/ 3 = 1.
Then
For R6 we will add all the velocity given from 12 to 20 and
then multiply it by 0.5 seconds
R6 = 0.5 s ( 12 + 18 + 25 + 20 + 14 + 20 ) m/ sec = 0.5 (109)
m = 54.5 m,
For L6 we will add all the velocity given from 0 to 14 and
then multiply it by 00.5 as well.
L6 = 0.5 sec ( 0 + 12 + 18 + 25 + 20 + 14 ) m/ sec = 0.5 (89
) m = 44.5 m.
For M3:
M3 = 1 sec (12 + 25 + 14) m/ sec = 51 m.