Given:
A parabola opens up or down and its vertex is at the point (h, v).
To find:
The equation of the parabola.
Solution:
A parabola opens up or down. It means it is a vertical parabola.
The vertex form of a vertical parabola is
...(i)
Where, a is constant and (h,k) is vertex.
The vertex of given parabola is at point (h,v). Putting h=h and k=v in (i), we get
The required equation of the parabola is .
Therefore, the correct option is A.
For martians to destroy human society, they would need to travel 49,667,440 miles.
36 + 57 + 4 + 2 + 1 = 100 would do it.
Given:
The function is
To find:
The inverse of the given function.
Solution:
We have,
Substitute m(x)=y.
Interchange x and y.
Add square of half of coefficient of y , i.e., on both sides,
Taking square root on both sides.
Add on both sides.
Substitute .
We know that, negative term inside the root is not real number. So,
Therefore, the restricted domain is and the inverse function is .
Hence, option D is correct.
Note: In all the options square of is missing in restricted domain.
The correct answer is B. For sure it is. It took a while to solve in my head