SOLUTION: Karl correctly solved a quadratic equation. If her solution set is {-4, 0}, which of the following could be the graph of the equation? A: Zeros are -4 and 0, vertex is (-2,4) B:

Question 1078766: Karl correctly solved a quadratic equation. If her solution set is {-4, 0}, which of the following could be the graph of the equation?
A: Zeros are -4 and 0, vertex is (-2,4)
B: Zeros are -2 and 4, vertex is (1,-4.5)
C: Zeros are -4 and 2, vertex is (-1,-4.5)
D: Zeros are 0 and 4, vertex is (2, -4)
Please explain also, my teacher did not teach us this
Thank You!
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
If her is ,, means zeros are and
if you plug it in equation, for we will get and if we will get
check what is the equation of the quadratic function whose is ,:
use zero product formula:

here is a graph:

from the graph we see that vertex is (,)
which of the following could be the graph of the equation?
A: Zeros are and , vertex is (-2,4)=> coordinates of vertex are
incorrect
I do not see any option that is correct answer if is ,

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