1. Write the equation of each quadratic function in factored form. Then, find the \( x \)-intercepts, the \( y \) - intercept, the coordinates of the vertex, and the equation of the axis of symmetry. Sketch the graph. a) \( y=x^{2}-9 x+14 \) b) \( y=-2 x^{2}+4 x+6 \) c) \( y=2 x^{2}+x \) d) \( y=-3 x^{2}+12 x-12 \)

a) \( y = x^2 - 9x + 14 \): \( x \)-intercepts: (7, 0) and (2, 0); \( y \)-intercept: (0, 14); vertex: (4.5, -6.25); axis of symmetry: \( x = 4.5 \). b) \( y = -2x^2 + 4x + 6 \): \( x \)-intercepts: (3, 0) and (-1, 0); \( y \)-intercept: (0, 6); vertex: (1, 8); axis of symmetry: \( x = 1 \). c) \( y = 2x^2 + x \): \( x \)-intercepts: (0, 0) and \(\left(-\frac{1}{2}, 0\right)\); \( y \)-intercept: (0, 0); vertex: \(\left(-\frac{1}{4}, -\frac{1}{8}\right)\); axis of symmetry: \( x = -\frac{1}{4} \). d) \( y = -3x^2 + 12x - 12 \): \( x \)-intercepts: (4, 0) and (2, 0); \( y \)-intercept: (0, -12); vertex: (2, 12); axis of symmetry: \( x = 2 \).