Write each quadratic function in the form f(x )=a(x −h)^2 +k , find the vertex, and sketch the graph

Question

Write each quadratic function in the form f(x )=a(x −h)^2 +k , find the vertex, and sketch the graph

y = −3x^2 +2x

y=?(?)^2+?

vertex=?,?

Answer 1

y = -3x² + 2x

Completion of the Square

y = -3(x² - (2/3)x + (1/3)²) + 3(1/3)²

y = -3(x - 1/3)² + 1/3