Question

F(x) = (x + 5)2(x - 9)(x + 1)

Answer 1

Answer:

x = 5  and  ( 5 , − 9 )

Explanation:

The equation of a parabola in  vertex form  is.

2 2 y = a ( x − h ) 2 + k 2 2

Where  ( h , k )  are the coordinates of the vertex and a  is a multiplier

f ( x ) = ( x − 5 ) 2 − 9  is in this form

with  ( h , k ) = ( 5 , − 9 )

⇒ vertex  = ( 5 , − 9 )

the axis of symmetry passes through the vertex is vertical  with equation

x = 5 ←  axis of symmetry  graph{(y-x^2+10x-16)(y-1000x+5000)=0 [-20, 20, -10, 10]}