The figure ABCD after a dilation with a scale factor of 0.5, centered at the origin, becomes the points A B C D O A'(1,1.5), B'(0, 2), C'(-1.5, 0.5), D'(-0.5, -1.5)
O A' (6,4), B'(0,8), C'(-6,2), D'(-2,-6)
O A'(6,4), B (8,0), C (2,-6). D'(-6, -2)
O A'(1,1,5), B (2.0), C (0.5, -1.5), D'(-1.5, -0.5)​

Based on the situation in part a, the width of a rectangular garden is x feet, and its length is 5 feet more than twice its width. the right side of the equation, g(x) = 2x2 − 13x + 6, can be factored to g(x) = (2x − 1)(x − 6). this function could represent an inner region of the garden from the first equation, such as a vegetable garden with a border around it. the length of this inner garden would be 2x − 1 feet, and the width would be x − 6, which would leave a 3-foot border around the garden. part d what is the value of g(8) for the function g(x) in part c? what does this value mean in the context of the situation you described in part c?