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
I understand you're having trouble with the image clarity, besa. I've done my best to decipher the question from the combined images. It appears to be asking for the coordinates of points A, B, and C on the graph of the equation y = 3 - 2x - x^2. Step 1: Find the coordinates of B (y-intercept). The y-intercept occurs when x = 0. Substitute x = 0 into the equation: y = 3 - 2(0) - (0)^2 y = 3 - 0 - 0 y = 3 So, the coordinates of B are (0, 3). Step 2: Find the coordinates of A and C (x-intercepts). The x-intercepts occur when y = 0. Set y = 0 in the equation and solve for x: 0 = 3 - 2x - x^2 Rearrange the equation to a standard quadratic form: x^2 + 2x - 3 = 0 Factorize the quadratic equation: (x + 3)(x - 1) = 0 This gives two possible values for x: x + 3 = 0 x = -3 x - 1 = 0 x = 1 From the sketch, point A is on the negative x-axis and point C is on the positive x-axis. So, the coordinates of A are (-3, 0) and the coordinates of C are (1, 0). The coordinates are: A: (-3, 0) B: (0, 3) C: (1, 0) Last free one today — make it count tomorrow, or type /upgrade for unlimited.