what is the y intercept of the table and how do i write this is standard, factored, and vertex form?

Question

in out

1 8

2 9

3 8

4 5

5 0

Answer 1

vertex is (2,9) = maximum point on a downward opening paraola

one x intercept is (5,0)

the other x intercept is (-1,0)

y intercept is (0,5)

y = -(x-2)^2 + 9 in vertex form

in factored form

y = -(x-5)(x+1)

in standard form

y =-x^2 +4x +5

axis of symmetry is x=2

rest of the table is

-1 0 = an x intercept

0 5 = y intercept

1 8

2 9 = vertex = maximum point

3 8

4 5

5 0 = an x intercept