Okay, here we have this:
Considering the provided vertex, we are going to find the requested quadratic equations, so we obtain the following:
So let us remember that the quadratic equation has the following form:
f(x)=a(x-h)^2+k
Where a represents the leading coefficient, h the x value of the vertex and k the y value of the vertex, then replacing with the given and assuming a leading coefficient equal to 2, we have:
a)
f(x)=a(x-h)^2+k
f(x)=2(x-100)^2+200
b)
f(x)=a(x-h)^2+k
f(x)=2(x-(-3/4))^2-6
f(x)=2(x+3/4)^2-6