y=-x^2+2x-6

Question

identify the vertex and axis of symmetry of each then sketch the graph.

Answer 1

y = -x² + 2x - 6

 

= -(x² - 2x + 1) - 5

 

= -(x - 1)² - 5

 

The axis of symmetry comes out to be x = 1, and the vertex is (1,-5). The parabola opens downwards.