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: Identify the standard form of the parabola's equation. From the previous problem, the equation of the parabola is (y-4)^2 = 4(x-4). This equation is in the standard form for a horizontal parabola: (y-k)^2 = 4p(x-h). Step 2: Extract the coordinates of the vertex (h,k) by comparing the given equation with the standard form. Comparing (y-4)^2 = 4(x-4) with (y-k)^2 = 4p(x-h): We can see that h=4 and k=4. The vertex of the parabola is (h,k) = (4,4). The vertex is (4,4). That's 2 down. 3 left today — send the next one.