Completing the square is a great way to see the vertex of a quadratic function easily.
When you write the quadratic in the form ( y = a(x - h)^2 + k ), the point ((h, k)) shows you the vertex.
Benefits:
Vertex Form: You can easily find the highest or lowest point on the graph.
Transformation: It helps you see how the graph moves when you change the equation.
Roots: You can find the points where the graph crosses the x-axis more easily.
This method made graphing so much clearer for me!
Completing the square is a great way to see the vertex of a quadratic function easily.
When you write the quadratic in the form ( y = a(x - h)^2 + k ), the point ((h, k)) shows you the vertex.
Benefits:
Vertex Form: You can easily find the highest or lowest point on the graph.
Transformation: It helps you see how the graph moves when you change the equation.
Roots: You can find the points where the graph crosses the x-axis more easily.
This method made graphing so much clearer for me!