Octavio-Handles

Suitcase Handles

Handles are curved into the shape of a maximum parabola. The handles I'm referring to however, are suitcase handles & stuff like that. They are very important.

People need handles to hold onto & pick up stuff. For example, people need handles on suitcases to carry the suitcase with all of their stuff. Handles provide support to hold the stuff in the suitcase inside.



I got this graph by using a ruler.

Equation in standard form is y = -0.3265x^2 + 4

I got my standard form equation by using Microsoft Excel.

Equation in vertex form is y - 4 = -0.3265(x)^2

I got the vertex by doing "y - k = a(x - h)^2"

h = 0 & k = 4

I got the factored form by doing "y = a(x - r^1) (x - r^2)"

y = -0.3265 (x + 3.5) (x - 3.5)

The discriminant is 5.224

If the discriminant was negative, you wouldn't be able to solve.

To find the discriminant, use the quadratic formula.

The vertex of my parabola is (0,4) so it is a maximum because it's positive. It's a small yet wide parabola. The vertex is the highest point on the parabola. x intercepts -3.5 & 3.5 My line of symmetry is x = 0.

If anyone wants to get your x intercept without graphing, use the quadratic formula.

Forrest Gump has a school project. In this project, he measures a suitcase handle for a parabola. But he can't use a graph to find the x intercepts. So he measures a suitcase handle & figures out the equation. Help Forrest Gump use the quadratic formula.