Answer:
y = x^2 +6x +8
Step-by-step explanation:
The vertex is located at (-3, -1) and the graph rises 1 unit vertically for 1 unit away from the vertex. This means the scale factor is 1 and the vertex form equation can be written as ...
y = a(x -h)^2 +k . . . . . vertex form with scale factor a, vertex (h, k)
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y = (x -(-3))^3 +(-1) . . . fill in the values we know
y = (x +3)^2 -1 . . . . . simplify signs
y = x^2 +6x +9 -1 . . . eliminate parentheses
y = x^2 +6x +8 . . . . . your equation in standard form
