The average rate of change for the interval from x = 9 to x = 10 will be the negative 19. Then the correct option is A.
What is the parabola?
It's the locus of a moving point that keeps the same distance between a stationary point and a specified line.
The equation of a quadratic function, of vertex (h, k), is given by:
y = a(x – h)² + k
where a is the leading coefficient.
These tables represent a quadratic function with a vertex at (0, -1)
Then the equation of the parabola will be
y = a(x)² – 1
Then the value of a will be
–2 = a(1)² – 1
a = –1
Then the equation will be
y = – x² – 1
Then the average rate of change for the interval from x = 9 to x = 10 will be
Rate = [y(10) – y(9)] / (10 – 9)
Rate = (–101 + 82 ) / 1
Rate = – 19
Then the correct option is A.
More about the parabola link is given below.
https://brainly.com/question/8495504
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