ANATOMY

Detailed explanation-1: -Summary: The vertex form of the given quadratic function, y = x2-2x + 5, is (x-1)2 = y-4.

Detailed explanation-2: -Recall, that the General Form of a parabola is y = ax2 + bx + c. In order to find the vertex from this form, you must first find the x-coordinate of the vertex which is x =-b/2a. After you find the x-coordinate of the vertex, you will take this number and substitute for x in the parabola equation.

Detailed explanation-3: -Here is a graph of y=x2−6x+5 . We can see (either graphically or algebraically) that the lowest point, or minimum, occurs when x=3 and y=−4 . That is the location of the vertex.

Detailed explanation-4: -The vertex of the parabola whose equation is y =-2x2 + 8x-5 is (2, 3).