Find the vertex of the function

Answer 1

To find the vertex of a function, we need to find the coordinates of the point where the function reaches its maximum or minimum value.

First, determine if the function is a quadratic function in the form of y = ax^2 + bx + c.

For example, if the function is y = 2x^2 - 8x + 5, we can determine the vertex using the formula x = -b / 2a.

In this case, a = 2 and b = -8. Plugging these values into the formula, we get x = -(-8) / (2 * 2) = 8 / 4 = 2.

Next, plug the value of x back into the function to find the y-coordinate of the vertex.

y = 2(2)^2 - 8(2) + 5 = 2(4) - 16 + 5 = 8 - 16 + 5 = -3.

Therefore, the vertex of the function y = 2x^2 - 8x + 5 is at the point (2, -3).