x-intercept (s): For this case h (x) = 0 x2 - 2x - 8 = 0 (x-4) * (x + 2) = 0 x1 = 4 x2 = -2 y-intercept: For this case x = 0 h (0) = (0)2 - 2 (0) - 8 h (0) = - 8 vertex: We derive the equation: h '(x) = x2 - 2x - 8 h (x) = 2x - 2 We match zero: 2x-2 = 0 x = 2/2 x = 1 We evaluate the function for x = 1 h (1) = (1)2 - 2 (1) - 8 h (1) = 1 - 2 - 8 h (1) = -9 The vertex is: (1, -9) axis of symmetry of the function: x = 1
