Question

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.

Answer 1

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

What is function ?

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