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It should be an upside-down ("sad" face) curve, all because of that negative sign outside.
Also, in your working, the negative sign should only be multiplied to one of the brackets (either to x - 8 or to x + 3, but not both at the same time)
The y-intercept value will be 24 instead of -24.
If turning points are needed, (2.5, 30.25) or (5/2, 121/4) will be the maximum point.
Also, in your working, the negative sign should only be multiplied to one of the brackets (either to x - 8 or to x + 3, but not both at the same time)
The y-intercept value will be 24 instead of -24.
If turning points are needed, (2.5, 30.25) or (5/2, 121/4) will be the maximum point.