9514 1404 393
Answer:
see attached
Step-by-step explanation:
The equation is in vertex form, so you can tell that the vertex of the graph is (x, y) = (-4, -8). This suggests your table should have values that are symmetrical about x = -4. The attachment shows one possible table of values.
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It is generally convenient to let a graphing calculator or spreadsheet compute a table of values for you.
Put each chosen value of x into the equation and do the arithmetic.
For x=-5, ...
y = 3(-5+4)² -8 = 3(-1)² -8 = 3 -8 = -5
Then (-5, -5) will be a point in your table. Recognizing the symmetry of the function, you know that (-3, -5) will also be a point in your table.
