Question

What is the equation of the graphed function?

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f(x)=

Answer 1

F(x)=(x+1)^2 that’s the answer

Answer 2

Answer:

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

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