Which statements are best supported by the graph K?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

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03-11-2022
Mathematics

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Which statements are best supported by the graph K?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

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JaylanC152519 JaylanC152519 · Answer 1 · 2022-11-03T12:27:05+01:00

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!!!