For the function y=-2x^2+4x+1, what are the coordinates of the vertex? Is it a maximum or minimum point? Hint: use the vertex/axis of symmetry formula for x. Show all work algebraically to earn full credit and use Desmos only to check your answer

Step-by-step explanation:

y = -2x² + 4x + 1

Complete the square.

y = -2 (x² − 2x) + 1

y = -2 (x² − 2x + 1) + 1 − (-2)(1)

y = -2 (x − 1)² + 3

The vertex is (1, 3).  The leading coefficient is negative, so the vertex is a maximum.

Graph: desmos.com/calculator/qsih3rd8ev

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.