Answer:
Step-by-step explanation:
The first parabola has vertex (-1, 0) and y-intercept (0, 1).
We plug these values into the given vertex form equation of a parabola:
y - k = a(x - h)^2 becomes
y - 0 = a(x + 1)^2
Next, we subst. the coordinates of the y-intercept (0, 1) into the above, obtaining:
1 = a(0 + 1)^2, and from this we know that a = 1. Thus, the equation of the first parabola is
y = (x + 1)^2
Second parabola: We follow essentially the same approach. Identify the vertex and the two horizontal intercepts. They are:
vertex: (1, 4)
x-intercepts: (-1, 0) and (3, 0)
Subbing these values into y - k = a(x - h)^2, we obtain:
0 - 4 = a(3 - 1)^2, or
-4 = a(2)². This yields a = -1.
Then the desired equation of the parabola is
y - 4 = -(x - 1)^2
Well I don't know if i'm answering the question, but 30 workers surveyed were satisfied with the benefits they received from the employers because 300 multiplied by .10 is 30. Hope my answer is useful.
Answer:
1) 36
2) 190
3) 72 units
Step-by-step explanation:
1) 2x4 = 8 units area for rectangle
(4-2) x4 /2 = 4 units
6 x 4 = 24 units
8 + 4 + 24 = 36
2) 3 x 10 / 2 = 15 units
5 x 10 /2 = 25 units
15 x 10 = 150 units
150 + 25 + 15 = 190 units
3) 6 x 3 / 2 = 9 units
6 x 9 = 54 units
6 x 3 / 2 = 9 units
9 + 9 + 54 = 18 + 54 = 72 units
