Which function in vertex form is equivalent to fx = 4 + x2 – 2x?fx = x – 12 + 3fx = x – 12 + 5fx = x + 12 + 3fx = x + 12 + 5

Answer:option Af(x) = (x – 1)2 + 3Given in the question a function,f(x) = 4 + x² – 2xStep 1f(x) = 4 + x² – 2xhere a = 1         b = -2         c = 4Step 2x = -b/2ah = -(-2)/2(1)h = 2/2h = 1Step 3Find kk = 4 + 1² – 2(1)k = 3Step 4To convert a quadratic from y = ax² + bx + c form to vertex form, y = a(x - h)²+ ky = 1(x - 1)² + 3y = (x - 1)² + 3