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:
Use the square of a binomial theorem
= 
Now expand the given equation:
Hope this helps :)
Have a great day!
Answer:
90
Step-by-step explanation:
can u help me
What is the volume of a square-based pyramid with a base length of 5 ft and a height of 24 ft?
Enter your answer in the box.
answer asap
ft³
Answer:
1/14
Step-by-step explanation:
1 - 5/7 = 7/7 - 5/7 = (7-5)/7
Subtract. 7 - 5 = 2
= 2/7
Now we have to multiply 2/7 and 1/4
We get 2/7 x 1/4 = <em>1/14</em>
