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=x^2+3x+5/2

y=?(?)^2+?

vertex= ?,?

Answer 1

Learn how to Complete the Square

y = x² + 3x + (3/2)² - (3/2)²

y = (x + 3/2)² - 9/4