Question

What is the equation of the graphed function?

Enter your answer in the box.
f(x)=

Answer 1

F(x)=(x+1)^2 that’s the answer

Answer 2

`f(x)=(x+1)^2`

Step-by-step explanation:

We have been given graph of a function. We are asked to find the equation of the graphed function.

Upon looking at our given graph, we can see that the graph represents a parabola.

We know that vertex form of a parabola is:
`y=a(x-h)^2+k`, where, (h,k) represents the vertex of parabola.

We can see that vertex of our given parabola is at point
`(-1,0)`, so substituting the coordinates of vertex of parabola, we will get:

`y=a(x--1)^2+0`

`y=a(x+1)^2`

Now we will find the value of a using coordinates of point (0,1) in above equation.

`1=a(0+1)^2`

`1=a(1)^2`

`1=a*1`

`1=a`

Therefore, the equation of our graphed function would be
`f(x)=(x+1)^2`