The equation of the parabola having vertex (0,0) along the x-axis and passing through(2,-1) is
Since the vertex is at (0,0), the equation of the parabola can be written in the form y = ax^2. To find the value of "a", we will substitute the coordinates (2,-1) into the equation:
-1 = a(2)^2
-1 = 4a
Dividing both sides by 4, we get:
a = -1/4
Therefore, the equation of the parabola is y = (-1/4)x^2.