# What is the axis of symmetry and vertex for the graph y= 5x^2-x?

Whenever I solve quadratics, I check if the quadratic crosses y=0. You can check this by solving for $0 = 5 {x}^{2} - x$ . You should get two answers (When solving for the square root). Average those answers, and you'll get the axis of symmetry. Plug in the X value for the axis of symmetry back into the original equation and you can solve for the y-value of the vertex.