The correct equation for the given graph will be option A that is
y=[tex]x^{2} +9x+18[/tex]
What is an equation?
It is a relationship between two variables and having a equal to sign in between.
How to draw a graph?
Firstly we need to find the points of the respective equations.
y=[tex]x^{2} +9x+18[/tex]
y=[tex]x^{2}[/tex]+6x+3x+18
y=x(x+6)+3(x+6)
y=(x+3)(x+6)
Put this equal to 0 and we get x=-3 and x=-6
y=[tex]x^{2} -2x+4[/tex]
It is a wrong equation.
y=(x-3)(x-6)
put this equal to 0 we get x=3 and x=6
Now we have to check in the graph whether points (-3,0)(-6,0) satisfies or (3,0)(6,0)
We can easily see that (-3,0)(-6,0) satisfies the graph.
Hence the correct equation is y=x2+9x+18
Learn more about equations at https://brainly.com/question/2972832
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