3. f(x) = ax2 + bx + c How do you find: y-intercept line of symmetry: vertex: (0, c) ( , f( )) y-intercept vertex Line of symmetry
4. Find the y-intercept, the equation of the axis of symmetry, and the coordinates of the vertex for y-intercept: (0, 2) Line of symmetry: f(2) = 1(2)2 - 4(2) + 2 = 4 – 8 + 2 = -2 Vertex: (2, ) -2 Example 1-2a
5. (0, 2) (2, –2) Line of symmetry: x = 2 Vertex: (2, -2) y- int: (0, 2) f(x) x 2 0 –1 1 –2 2 –1 3 2 4 Example 1-2a
6. Find the y-intercept, the equation of the axis of symmetry, and the coordinates of the vertex for 6 3 6 3 y-intercept: (0, 3) Line of symmetry: f(3) = 1(3)2 – 6(3) + 3 = 9 – 18 + 3 = -6 Vertex: (3, ) -6 Example 1-2a
7. (0, 3) (3, –6) Line of symmetry: x = 3 Vertex: (3, -6) y- int: (0, 3) f(x) x x2 – 6x + 3 3 0 –2 1 12 – 6(1) + 3 –5 2 22 – 6(2) + 3 –6 3 3 6 Example 1-2a
8. Find the maximum or a minimum value of a = -1 = = 1 = Maximum value is 4 when x is 1 Example 1-3a
