Question

sketch the graph of the quadratic function $h(x) = 3x^2 - 12x + 9$ on the coordinate plane, ensuring to clearly label the vertex, axis of symmetry, x-intercepts, y-intercept, and at least two other distinct points that demonstrate the parabolas shape, and indicate whether it opens upward or downward.

Explanation:

Answer:

Vertex: \((2, -3)\); Axis of symmetry: \(x = 2\); \(x\)-intercepts: \((1, 0)\) and \((3, 0)\); \(y\)-intercept: \((0, 9)\); Opens upward; Other points: \((-1, 24)\), \((4, 9)\)