Write the quadratic function in standard form (if necessary) and sketch its graph.

Identify the vertex.

f(x)=x^2+3x+1/4

1 answer

y = x^2 + 3x + 1/4
= x^2 + 3x + (3/2)^2 + 1/4 - (3/2)^2
= (x + 3/2)^2 - 2

That should answer most of your questions.