Answer: (-a, -b)
Step-by-step explanation: It's a square that has both X-axis and Y-axis as lines of symmetry. We can then conclude the center of the square is at the origin (0,0).
It doesn't matter if the square is straight up (both axis being the mid-points symmetry lines, and one corner in each quadrant) or if it is turned (both axis being the diagonals and the corners are on the axis), in any case if a summit (corner) is defined as (a,b), the opposite corner will be at (-a,-b).
(a,b) could be (2,2), then opposite would be (-2,-2).
(a,b) could be (3,0), then the opposite would be (-3,0).
The function which is represented by the graph is [tex]f(x)=-2|x| + 1[/tex].
A graph can be defined as the graphical representation of data (information) on both the horizontal and vertical lines, which are commonly called the x-axis and y-axis respectively.
Based on the graph, we can deduce that it is a graphical representation of an absolute function. Also, the standard form of an absolute function is given by:
[tex]f(x)=y=a|x-h|+k[/tex]
Where:
For this graph of absolute function, the vertex is at (0, 1). Thus, it would vertically stretch by a factor of 2 with a negative value of a because it opens down (a < 0).
In conclusion, the function which is represented by the graph is:
[tex]f(x)=-2|x| + 1[/tex]
Read more on graphs here: https://brainly.com/question/25875680
