The horizontal line has equation . The line is solid, and everything below it is shaded, which translates to the inequality
. (so not B nor D)
The dashed line must have equation . Because it's dashed, the inequality is strict. Pick any point in the shaded region, (0, 0) for instance, and compare both sides of this equation. (0, 0) means both
and
, so on the left side we have 0, and on the right we have -1. 0 > -1, so the inequality must be
.
This means the answer is A.
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
Put x=0
This function not passes through point (0,-1)
(2)
Given function is
Put x=0
Put x= -1
This function passes through both points (0,-1) and (-1,2)
(3)
Given function is
Put x= -1
This function not passes through point (-1,2)
(4)
Given function is
Put x=0
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
