If point t is reflected across the x-axis what the coordinates of its reflection image

(-3,1)

Step-by-step explanation:

We know that a reflection is a transformation in which each point of a figure maps at an equal distance on the opposite side across a given line of reflection.

From the given graph the coordinates of point t = (-3,-1)

Since it is  reflected across the x-axis , then its x coordinate remains same, but the polarity of y coordinate changes.

Thus, the coordinate of its reflection image  = (-3,1)

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

146%

step-by-step explanation: