Given: The quadratic function shown in the figure
To Determine: The correct Statement
Solution:
Statement I: The x-intercept is located at (3, 0)
The x-intercept is the point where the function cut the x-axis. From the given graph, the curve cuts the axis at the point where x = 3. Note that at x-intercept, y = 0
Hence, the coordinate of the x-intercept is (3, 0)
Statement II: The coordinates of the y-intercept are (0, 9)
The y-intercept is the point where the function cuts the y-axis. From the graph given, the curve cuts the y-axis, at the point
y = 9. Note that at y-intercept, x = 0
Hence, the coordinate of the y - intercept is (0, 9)
Statement III: The axis of symmetry is x = 3
The axis of symmetry is the vertical line that divides the graph into two equal parts. The x-coordinate of the vertex is the equation of the axis of asymmetry
From the graph, it can be seen that the axis of symmetry is x = 3. This is as shown below
Hence, Statement I, II, and III are correct, OPTION C