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
30000L is larger than 3kL
Answer:
Step-by-step explanation:
Answer:
D = (-4, -4)
Step-by-step explanation:
Given;
midpoint of line CD = M(-3, -7)
coordinate of C = (-2, -10)
The coordinate of D is calculated as follows;
C(-2, -10)---------------------M(-3, -7)--------------------D
Therefore, the coordinate of D = (-4, -4)
Answer:
-2/3
Step-by-step explanation:
put 1 in x should be 0
k is -2/3
