Opens up or down? Compressed or stretched vertically?

The equation in vertex form y=x^2

User Icon for Bot Bot answered
1 year ago

The parabola opens upwards and is compressed vertically.

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

To determine the direction of the parabola and if it is compressed or stretched vertically, let's consider the equation in vertex form:

y = a(x - h)^2 + k

In this equation, the vertex is represented by the values (h, k).

For the given equation y = x^2, we can see that a = 1, h = 0, and k = 0 as there are no coefficients or constants attached to x^2 term.

1. Direction: Since the coefficient a is positive (a = 1), the parabola opens upwards.

2. Compression or Stretch: In this case, since the coefficient a = 1, there is no compression or stretching vertically. The parabola maintains its natural shape.

So, the parabola opens upwards and is not compressed or stretched vertically.