This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Start with the given quadratic expression. y = x^2 - 2x Step 2: Factor out the leading coefficient a = 1 from the x^2 and x terms (not necessary here but general form). y = 1 · (x^2 - 2x) Step 3: Complete the square inside the parentheses. Coefficient of x is -2, half is -1, square is 1. Add and subtract 1 inside: y = 1 · (x^2 - 2x + 1 - 1) y = 1 · ((x - 1)^2 - 1) Step 4: Distribute the leading coefficient. y = 1 · (x - 1)^2 - 1 · 1 y = (x - 1)^2 - 1 This is the vertex form a(x - h)^2 + k where a = 1 , h = 1 , k = -1 . y = (x-1)^2 - 1