Answer:

Step-by-step explanation:
The y-intercept (when x = 0) on the quadratic graph is 3, the upper quadratic graph does not intersect the x-axis, and the endpoint of the function has an open circle that stops at x = 1. The starting point extends to the boundaries of the graph
Therefore, the piecewise function shown in the quadratic graph is given as follows;
f(x) = x² + 3; x < 1
The straight line graph has a negative slope and starts at x = 1, with a closed circle, extending to higher values of <em>x</em> to the boundaries of the graph
Two points on the straight line graph are (1, 3) and (5, -5), therefore, the slope is (-5 - 3)/(5 - 1) = -2
The equation of the function is y - 3 = -2·(x - 1)
∴ y = f(x) -2·x + 2 + 3 = -2·x + 5
f(x) = -2·x + 5; x ≥ 1
We have to identify the quadrilateral with no line of symmetry and have rotational symmetry.
Line of symmetry is the imaginary line which divide the given quadrilateral in two equal halves.
Rotational symmetry is when an object is rotated around a center point (turned) a number of degrees and the object appear the same.
Parallelogram is a quadrilateral which has no line of symmetry as we can not draw any imaginary line which divides the parallelogram in two equal halves.
But Parallelogram has rotational symmetry as when a parallelogram is rotated around a center point (turned) a number of degrees and parallelogram appear the same.
Hence, Parallelogram is the quadrilateral.
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Substitute y = x - 8 for y in 2x + 3y = 1:
2x + 3(x - 8) = 1
2x + 3x - 24 = 1
5x - 24 = 1
5x = 25
x = 5
Substitute 5 for x in y = x - 8 and 2x + 3y = 1
y = 5 - 8 --> y = -3
2(5) + 3y = 1 --> 10 + 3y = 1 --> 3y = -9 --> y = -3
x = 5 and y = -3