The center of an ice rink is located at on a
coordinate system measured in feet. Sandi skates
along a path that can be modeled by the equation real solutions does the system of
.
David starts at and skates along a path
that can be modeled by a quadratic function with a
vertex at .
Which system of equations models the paths of the
two skaters?
and

Did you know that quadratic equations, like the ones modeling Sandi and David’s skating paths, can represent real-life scenarios, such as projectile motion? When an object is launched into the air, its path can often be modeled by a quadratic function, where the highest point marks the object’s maximum height. So, next time you see a skater gracefully gliding, think of their trajectory as a beautiful curve, elegantly following the rules of mathematics!

Now, on the problem-solving side, when dealing with quadratic equations, people often overlook the importance of checking their vertex and intercepts. For Sandi’s equation, finding the vertex can help determine the lowest or highest point of her path, which could be crucial if she’s trying to perform tricks! Similarly, checking where the two equations intersect will show if Sandi and David cross paths on the rink, adding a dash of drama to their skating story!