Answer:
B. 5
Step-by-step explanation:
You can fill in the given numbers in the vertex form equation and solve for the coefficient.
y = a(x -h)^2 +k
3 = a(4 -3)^2 -2
3 +2 = a·1 . . . add 2
5 = a
The coefficient of the squared expression is 5.
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The offered x-value is 1 different from the vertex, so the value of that coefficient is the amount of change in the function. The function rises from -2 to +3, so has a change of 5 units. The coefficient is 5.
