How do you find the rate of change of a function?

Mathematics

1 answer:

Kobotan [32]3 years ago

3 0

Answer:

We calculate the slop of a line.

How to find the slope:

Pick any two points on a graph

The formula of slope is $\frac{Y2-Y1}{X2-X1}$

For example we have two points that contains the coordinates (5,2) (7,4)

Inserting them to the formula would result in:

$\frac{4-2}{7-5}$

= $\frac{2}{2}$

Our rate of change is rise 2, run 2.

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Step-by-step explanation:

Notice that they are asking you to write the equation of the parabola in vertex form, that is using the coordinates of the vertex $(x_v,y_v)$ in the expression:

$y-y_v=a\,(x-x_v)^2\\y=a\,(x-x_v)^2+y_v$

we can start by directly replacing the given vertex coordinates (-3, -3) in the expression, and then using the extra info on the point the parabola goes through in order to find the parameter $a$ :