Answer:
y = x² +6x +8
Step-by-step explanation:
You can write the equation starting from the zeros:
y = (x -a)(x -b) . . . . . . where the x-intercepts are a=-4, b=-2
y = (x +4)(x +2)
y = x² +6x +8
Or, you can start from the vertex form:
y = a(x -h)² +k . . . . . . . where the vertical scale factor a=1*, and (h, k) = (-3, -1)
y = (x +3)² -1
y = x² +6x +9 -1
y = x² +6x +8
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* The vertical scale factor can be found as the difference between the function value at the vertex (-1) and the function value at the point ±1 from the vertex (0). a = 0 -(-1) = 1.
