Question

What is the vertex to the graph below

Answer 1

`y = 4 {ax}^(2) \\ by \: comparison \: with \: y = 1.5 {x}^(2) \\ 4a = 1.5 \\ a = (1.5)/(4) \\ a = (3)/(8) \\ vertex = (3)/(8) \: \: o r\: \: 0.375`

Answer 2

(0,0)

Explanation:

The vertex of the parabola is the minimum ( or maximum) point

Since this is an open upwards parabola, it is the minimum point

The minimum is (0,0) so that is the vertex