Question

What is the average rate of change for this quadratic function please help

Answer 1

Answer: Choice A) 2

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Explanation:

When x = 0, the value of y is y = -6. You can see this as you draw a vertical line through x = 0. This vertical line is the y axis. The parabola crosses the y axis at -6. This point is the y intercept.

When x = 3, the value of y is y = 0. This is one of the two x intercepts. An x intercept is a location where the graph crosses the x axis.

So we have the two points (0,-6) and (3,0). Let's find the slope of the line through these two points

(x1,y1) = (0,-6)
(x2,y2) = (3,0)

Slope:
m = (y2-y1)/(x2-x1)
m = (0-(-6))/(3-0)
m = (0+6)/(3-0)
m = 6/3
m = 2

The slope of the line through those two point is m = 2.