Math Question?

Question

y = ( x - 7 ) ( x + 1 )

Find out

Zeros
Axis of Symmetry
Vertex

If someone can help it be great =p

Answer 1

find the zeros by letting x-7 = 0 and x+1 = 0. You get x = 7 and x = -1.

Axis of symmetry is halfway between the zeros, so (-1 + 7)/2 = 3. That is, x = 3.

Vertex's x coordinate is 3, and plug 3 in to get y:

y = ( 3-7)(3+1) = -4•4 = -16,

So vertex is (3, -16)

Answer 2

y=(x-7)(x+1)

roots x=7 and x=-1

Axis of symetry is x= half of the sum of the zeros

x=3

Vertex is the extreme value of the function ( max or min)
put the derivative to zero

y'=x-7 +x+1 = 2x-6 =0 so x=3 and y=(-4)*(4)=-16


This function represents a parabola