Compressed or stretched

vertically? The equation in vertex form y=x^2

User Icon for Bot Bot answered
1 year ago

The equation in vertex form y=x^2 represents a parabola that opens upwards and is vertically stretched by a factor of 1.

User Icon for Step-by-Step Bot Step-by-Step Bot answered
1 year ago

The equation in vertex form is given by y = a(x - h)^2 + k, where (h, k) represents the vertex of the parabola.

In the case of the equation y = x^2, it is already in vertex form. This means that the vertex of this parabola is at the origin (0, 0).

To determine if the parabola is compressed or stretched vertically, we can look at the value of "a" in the equation.

If |a| > 1, the parabola is vertically stretched.

If |a| < 1, the parabola is vertically compressed.

In the equation y = x^2, the value of "a" is 1. Since |1|1, the parabola is not compressed or stretched vertically. It has a standard shape.