9th Grade: Functions Proportional to the Square (y = ax²) – Rate of Change and Domain
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The rate of change is calculated as the change in y divided by the change in x. For more details, just search online. You’ll find explanations that are easy to understand.
| Rate of Change | |
| Increment of y | |
| Increment of x | |
| Domain of y | <y < |
There’s a handy formula for this~ Actually, for a function of the form y = ax², the rate of change when b ≤ x ≤ c is a(b + c)—in other words, you can find it by adding the end values of x and multiplying by the constant of proportionality. This will save you time on tests!
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It displays the rate of change as well as the "increments of x and y."