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:

Algebra ->  Quadratic Equations and Parabolas -> 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:       Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
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=%28x-x%5B1%5D%29%28x-x%5B2%5D%29
y=%28x-%28-4%29%29%28x-0%29
y=%28x%2B4%29x
y=x%5E2%2B4x
here is a graph:
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2%2B4x%29+
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