Identify the vertex of the parabola y 2x2 8x 9Solutiony

Identify the vertex of the parabola. y = 2x^2 - 8x + 9.

Solution

y = 2x² - 8x + 9

   = 2 (x² - 2 * 2x + 2²) + 9 - 2 * 2²

    = 2 (x - 2)² + 1

In the equation, y = a (x - h)² + k , (h , k) is the vertex

So, the vertex of parabola is (2 , 1)