The formula is: y = x^2 - 6x what are the values for Y? (Plotting a graph)
X has the values of: 0,1,2,3,4,5,6.
The formula is: y = x^2 - 6x what are the values for Y? (Plotting a graph)
X has the values of: 0,1,2,3,4,5,6.
The equation defined by y = x^{2} - 6x, means that if we are given a value for x (such as 0, 1, 2, 3, etc.), then we can find a y value by plugging in the x into the equation and doing the necessary operations.
When x = 0 the equation is y = (0)^{2} - 6(0) = 0, thus when x is 0, y is also 0. The coordinate point is (0,0) which is also known as the origin.
When x = 1 the equation is y = (1)^{2} - 6(1) = 1 - 6 = -5, thus when x is 1, y is -5. The coordinate point is (1,-5) which means that from the origin, we are supposed to move 1 unit to the right and 5 units down.
When x = 2 the equation is y = (2)^{2} - 6(2) = 4 - 12 = -8, thus when x is 2, y is -8. The coordinate point is (2,-8) which means that from the origin, we are supposed to move 2 units to the right and 8 units down.
When x = 3 the equation is y = (3)^{2} - 6(3) = 9 - 18 = -9, thus when x is 3, y is -9. The coordinate point is (3,-9) which means that from the origin, we are supposed to move 3 units to the right and 9 units down.
When x = 4 the equation is y = (4)^{2} - 6(4) = 16 - 24 = -8, thus when x is 4, y is -8. The coordinate point is (4,-8) which means that from the origin, we are supposed to move 4 units to the right and 8 units down.
When x = 5 the equation is y = (5)^{2} - 6(5) = 25 - 30 = -5, thus when x is 5, y is -5. The coordinate point is (5,-5) which means that from the origin, we are supposed to move 5 units to the right and 5 units down.
When x = 6 the equation is y = (6)^{2} - 6(6) = 36 - 36 = 0, thus when x is 6, y is 6. The coordinate point is (6,0) which means that from the origin, we are supposed to move 6 units to the right and 0 units down.
The graph looks somewhat like a U, that has the left most point at (0,0) and the right most point at (6,0). The lowest point is (3,-9)