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:
A. x - 38.45 = 17.71
Step-by-step explanation:
The price of the shirt subtracted off the amount of money she had before would give 17.71
Answer:
the number of lemons required is 6
Step-by-step explanation:
The computation of the number of lemons she required to make the 4 times the receipe is shown below;
Given that
She used three fourth of lemons for make one half liters of lemonade
Now for four times she required the lemons
= (3 ÷ 4) × 2 × 4
= 6
Hence, the number of lemons required is 6
Answer: AB = 150 degrees
Step-by-step explanation: 90 + 60 = 150
