Quadratic Functions In Vertex Form Math
The line x h is the axis of symmetry.
Quadratic functions in vertex form math. Multiply by the coefficient of a and get y ax 2 2ahx ah 2 k. Y a x h 2 k y 3 x 2 2 4 2. You should get y a x 2 2hx h 2 k. Can also give you idea about width of the graph.
It tells a lot about quadratic function. Now expand the square and simplify. Start with the function in vertex form. Then substitute the vertex into the vertex form equation y a x h 2 k.
Can tell you about direction of opening of graph of given quadratic function. If necessary rewrite the function so you can clearly see the h and k values. Graphing a quadratic function in vertex form. Pull out the values for h and k.
Vertex form of quadratic functions is. Y a x h 2 k is the vertex form equation. Finding the vertex of the quadratic by using the equation x b 2a and then substituting that answer for y in the orginal equation.