Question

What can the zeros and intercepts of a quadratic function tell you about real world relationships?

Answer 1

Suppose, we are given a function

`f(x)=ax^2+bx+c`

Application of Zeros:

we know that

zeros are x-intercepts

We know that zeros are values of x for which f(x)=0

and it has very wide application

It is extremely useful in real world applications such as finance, astronomy, geology, architecture, or physics

For exp:

`h(t)=-16t^2 + 96t + 112`

Zeros will help us to find time at which ball reaches to ground

so, we set h(t)=0

and then we can solve for t

value of t are zeros

Application of y-intercept:

we know that y-intercepts are values of y at which x=0

It's application can be population , finance and physics etc

For exp:

`h(t)=-16t^2 + 96t + 112`

we can find initial height of object after plugging t=0

`h(0)=-16(0)^2 + 96(0) + 112`

`h(0)=112`

so, body dropped from 112 feet