Use the graph below for this question: graph of parabola going through negative 1, 5 and negative 2, 7. what is the average rate of change from x = −1 to x = −2? a: 2 b: -2 c: 4 d: -1

Let the function be . (this is the general form of a quadratic equation, whose graph is a parabola. a is different from 0)

The average rate of change from x=-1 to x=-2 is found by the formula:

.

We are given the points (-1, 5) and (-2, 7), so we have f(-1)=5 and f(-2)=7, thus

-f(-2)+f(-1)=-7+5=-2.

b: -2

108

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