Answer:
Thus, (a) is correct.
[tex]y=-(x+1)^2+3[/tex] is the equation of the given graph
Step-by-step explanation:
Given a graph with vertex (-1 , 3)
We have to determine the equation of the graph and choose from the given options.
Since, the graph represents a quadratic equation.
The general form of representing a quadratic equation is [tex]y=a(x-h)^2+k[/tex] , where (h,k) is the vertex. a determine whether the graph open ups or down if it is positive then it open upward and vice versa.
For the given graph, vertex (-1 , 3)
Substitute h = -1 and k = 3 in [tex]y=a(x-h)^2+k[/tex] we get,
[tex]y=a(x+1)^2+3[/tex]
Also the graph opens down ward so a has to be negative,
So [tex]y=-(x+1)^2+3[/tex]
Thus, Option (a) is correct.
