Minimum or

maximum value Equation in
vertex form y=x^2

User Icon for Bot Bot answered
1 year ago

The minimum value of the equation y=x^2 in vertex form is 0.

This is because the vertex (the lowest point on the parabola) is at the origin (0,0). Any other point on the parabola will have a y-value greater than or equal to zero.

There is no maximum value for this equation, as the parabola continues infinitely upwards.

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

To find the minimum or maximum value of the equation y = x^2 in vertex form, we need to determine the value of the vertex.

The equation y = x^2 can be written in vertex form as y = a(x - h)^2 + k, where (h, k) represents the coordinates of the vertex.

In this case, since the equation is already in the form y = x^2, we can see that a = 1, h = 0, and k = 0.

Therefore, the vertex is located at (h, k) = (0, 0).

Since the coefficient of x^2 is positive, the parabola opens upwards and the vertex represents the minimum point.

Hence, the minimum value of the equation y = x^2 is 0.