Answer
All of the statements (I, II and III) given are supported by the graph K.
Step-by-step Explanation
The question asks us to check which statements are best supported by the graph K? The statements include
I. The X-intercept is located at (-3,0)
II. The coordinates of the y-intercept are (0,9)
III. The axis of symmetry is x=-3
We will take each of the statements one at a time.
I. The X-intercept is located at (-3,0)
Note that the x intercept is the point where the graph meets the x-axis, that is, the value of x on the graph when y=0.
From the graph, we can see the point where the graph meets the x-axis is x = -3, hence, the x-intercept is truly located at (-3, 0).
II. The coordinates of the y-intercept are (0,9)
The y intercept is the point where the graph meets the y-axis, that is, the value of y on the graph when x=0.
From the graph, we can see that the point where the graph meets the y-axis is y = 9, hence, the coordinates of the y-intercept is (0, 9)
III. The axis of symmetry is x = -3
The axis of symmetry is the central axis of the graph, which signifies the middle point of the graph. It is evident that this graph is centered on x = -3.
Hence, this statement too, is correct.
Hope this Helps!!!
