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
Answer:
Step-by-step explanation:
The domain includes all x values, and here, it is [-2, 4].
Answer:
C. C = 3P
Step-by-step explanation:
C = total costs
P = number of popsicles
Unit price of 1 popsicle = $3
To get the total cost of popsicles, we need to multiply the number of popsicles bought by the price of each popsicles
Total cost of popsicles = number of popsicles × unit price
Thus, the question would be written as:
C = 3P
Answer:
5 Pounds of peaches
Step-by-step explanation:
Okay so your first step will be to divide 8.75 by 1.75.
That gives you 5, so she bought 5 pounds
