We want to write the of the whose is
and passes through point
To do so, let's first recall the vertex form of a .
In this form,
is the vertex of the parabola. Since we are given that the vertex of our function is
we have that
We can use these values to partially write our equation.
Finally, to find the value of
we will use the fact that the function passes through
We can substitute
in the above equation and solve for
Now that we know that
we can complete the equation of the function.