Question

7 label the x - intercept, y - intercept, vertex and axis of symmetry in the following graph

Explanation:

Step1: Identify the y - intercept

The y - intercept is the point where the graph crosses the y - axis (x = 0).

Step2: Identify the x - intercepts

The x - intercepts are the points where the graph crosses the x - axis (y = 0).

Step3: Identify the vertex

The vertex is the maximum or minimum point of the parabola.

Step4: Identify the axis of symmetry

The axis of symmetry is a vertical line that passes through the vertex. Its equation is of the form x = h.

Answer:

• y - intercept: The point where the graph crosses the y - axis. In a coordinate system, if the graph crosses the y - axis at (0,3), then the y - intercept is (0,3).
• x - intercepts: The points where the graph crosses the x - axis. If the graph crosses the x - axis at (-1,0) and (3,0), then the x - intercepts are (-1,0) and (3,0).
• Vertex: The maximum point of the parabola. If the highest point of the parabola is at (1,4), then the vertex is (1,4).
• Axis of symmetry: The vertical line passing through the vertex. If the vertex is at (1,4), then the axis of symmetry is \(x = 1\).