Question 1078766
If her {{{solution }}}{{{set}}} is {{{-4}}} ,{{{ 0}}}, means zeros are  {{{-4}}} and {{{ 0}}}

if you plug it in equation, for {{{x=-4}}} we will get {{{y=0}}} and if {{{x=0}}} we will get {{{y=0}}}

check what is the equation of the quadratic function whose {{{solution }}}{{{set}}} is {{{-4}}},{{{ 0}}}:

use zero product formula:

{{{y=(x-x[1])(x-x[2])}}} 
{{{y=(x-(-4))(x-0)}}} 
{{{y=(x+4)x}}}
{{{y=x^2+4x}}}

here is a graph:

{{{ graph( 600, 600, -10, 10, -10, 10, x^2+4x) }}}

from the graph we see that vertex is ({{{-2}}},{{{-4}}})

 which of the following could be the graph of the equation?

A: Zeros are {{{-4}}} and {{{0}}}, vertex is (-2,4)=> coordinates of vertex are 
incorrect

I do not see any option that is correct answer if {{{solution }}}{{{set}}} is {{{-4}}} ,{{{ 0}}}