Question

the graph of a quadratic function k is shown on the grid.which statements are best supported by the graph of k? l. the x-intercept is located at (3, 0)ll. the coordinates of the y-intercept are (0, 9) lll. the axis of symmetry is x = 3A) l and lll onlyB) l and ll only C) l, ll, and lllD) ll and lll only

Answer 1

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