How do you graph a quadratic function?
My favorite way is to complete the square in the equation for y, find the vertex and y-intercept, and draw the parabola.
Our goal is to make the equation
Say your equation is given as:
so we need to make
We read the vertex at
This gives a parabola sitting on the vertex and curving upward, with axis of symmetry on the vertical line
By the way this example also has roots (x-intercepts) at
You're welcome, and happy graphing from