Equations in the Form y = ax^2
Guided Practice
Consider these equations.

y=2x^2
y=12x^2
y=−3x^2

How does each differ from the simple quadratic equation y = x^2?

In each of these new equations, x^2 has a coefficient. They are all examples of the equation y = ax^2.

Let’s look at how the coefficient 2 affects the graph of the function y = 2x^2.

Type your answer and then click or tap Done.

First, find the values of 2x^2 by completing this chart. The first is done for you.


x x^2 2x^2

−2 4 8

−1 1 Fill in the blank text field 1