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 given equation of the parabola and the point it passes through. The equation of the parabola is ص^2 = 2س (which is y^2 = 2mx in English notation). The parabola passes through the point (-2, 4), meaning س = -2 and ص = 4. Step 2: Substitute the coordinates of the point into the parabola equation. Substitute y = 4 and x = -2 into y^2 = 2mx: (4)^2 = 2m(-2) Step 3: Simplify the equation. 16 = -4m Step 4: Solve for m. Divide both sides by -4: m = (16)/(-4) m = -4 The value of m is -4. Comparing this with the given options: 1: -2 2: 2 3: 4 4: -4 The correct option is 4. The final answer is -4.