The graph of the quadratic function g is shown on the grid.
Quadratic graph has a low point of (4,0) and runs through points (0,8), (1, 4.5), (6,2), (7, 4.5)
Which statements are best supported by the graph of K?
I. The x-intercept is located at (4,0).
II. The quadratic has 1 zero.
III. The maximum value is 8.
IV. The equation of the line of symmetry is y = 4.
The graph of the quadratic function g is shown on the grid.
Quadratic graph has a low point of (4,0) and runs through points (0,8), (1, 4.5), (6,2), (7, 4.5)
Which statements are best supported by the graph of K?
I. The x-intercept is located at (4,0).
II. The quadratic has 1 zero.
III. The maximum value is 8.
IV. The equation of the line of symmetry is y = 4.
I, II, III, and IV
I, II, and IV only
I and II only
I, III and IV only.
The correct answer is I and II only.
I. The x-intercept is located at (4,0) - this statement is supported by the graph because it shows that the quadratic function g crosses the x-axis at the point (4,0).
II. The quadratic has 1 zero - this statement is supported by the graph because it shows that the quadratic function g only crosses the x-axis once, meaning it only has one zero.
III. The maximum value is 8 - this statement is not supported by the graph because the graph does not have a maximum value of 8. The vertex (low point) of the graph is (4,0), not (4,8).
IV. The equation of the line of symmetry is y = 4 - this statement is not supported by the graph because the line of symmetry does not pass through the point (4,0). The line of symmetry is vertical and passes through the vertex (4,0), meaning the desired equation of the line of symmetry would be x = 4.