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Ugo [173]
2 years ago
14

Which function does this graph represent? A. F(x) = 3(x 1)2 2 B. F(x) = -3(x 1)2 2 C. F(x) = -3(x 1)2 − 2 D. F(x) = 3(x − 1)2 2.

Mathematics
1 answer:
zubka84 [21]2 years ago
5 0

By analysing graph and then checking for all options we got that graph represent the function F(x) = -3(x +1)^2+ 2

<h3>What is function ?</h3>

Function is a relation from one set to another with a property that every element of a first set has a unique image in second set.

Here by looking at graph we can say that graph is if a quadratic equation

and it passes through (0,-1) and also from (-1,2)

Now we will check all options

(1)

Given function is

F(x) = 3(x +1)^2+ 2

Put x=0

F(0) = 3(0+1)^2+ 2=3+2=5

This function not passes through point (0,-1)

(2)

Given function is

F(x) = -3(x +1)^2+ 2

Put x=0

F(0) = -3(0+1)^2+ 2=-3+2=-1

Put x= -1

F(-1) = -3(-1 +1)^2+ 2=0+2=2

This function passes through both points (0,-1) and (-1,2)

(3)

Given function is

F(x) = -3(x +1)^2- 2

Put x= -1

F(-1) = -3(-1 +1)^2-2=0-2=-2

This function not passes through point (-1,2)

(4)

Given function is

F(x) = 3(x +1)^2+ 2

Put x=0

F(0) = 3(0+1)^2+ 2=3+2=5

This function not passes through point (0,-1)

By analysing graph and then checking for all options we got that graph represent the function F(x) = -3(x +1)^2+ 2

To learn more about function visit : brainly.com/question/25638609

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