The equation of the graphed function is [tex]f(x)=(x+1)^{2}[/tex].
A mathematical equation is a formula that uses the equals symbol (=) to connect two expressions and express their equality. A well-formed formula consisting of two expressions linked by an equals sign is considered to be an equation in English, but the word's cognates in other languages may have slightly different definitions.
The first step in resolving a variable equation is to identify the values of the variables that lead to the equality being true. The variables for which the equation must be solved are also known as the unknowns, and the unknowns' values that satisfy the equality are known as the equation's solutions.
To solve for equation :
We must determine the graphed function's equation.
Looking at the graph we've been given, we can see that it resembles a parabola.
We are aware that a parabola's vertex form is : [tex]y=a(x-h)^{2} +k[/tex] , where, (h,k) represents the parabola's vertex.
Since the vertex of the given parabola is located at (-1, 0), we may substitute those coordinates to obtain:
[tex]y=a(x-(-1))^{2} +0[/tex]
[tex]y=a(x+1)^{2}[/tex]
Now, using the coordinates of point (0,1) in the previous equation, we will get the value of a.
[tex]1=a(0+1)^{2}[/tex]
[tex]1=a(1)^{2}[/tex]
[tex]a=1[/tex]
As a result, the equation for our function would be:
[tex]f(x)=(x+1)^{2}[/tex]
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The complete question is mentioned below :
What is the equation of the graphed function?
Enter your answer in the box.
f(x)=
