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deff fn [24]
3 years ago
6

What is the equation of the graph below?

Mathematics
1 answer:
IgorC [24]3 years ago
6 0
ANSWER

f(x) = (x  +  3)^{2}  - 1



EXPLANATION

The vertex of the graph is at


(-3,-1)


The equation of the graph in vertex form is given by the formula,



f(x) =  a{(x - h)}^{2}  + k


The above graph has a minimum point, hence
a >  \: 0

When we put these values into the equation we obtain,

f(x) = a(x -  - 3)^{2}   +  - 1


This implies that,

f(x) = a(x  +  3)^{2} - 1

The point (-2,0) lies on the line.


a( - 2 + 3)^{2}    - 1 = 0

a = 1


f(x) = (x  + 3)^{2}  - 1

The correct answer is D.
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