What is the equation of the following graph in vertex form?

Question

Parabolic function going down from the left and turning at the point negative one comma zero and going up through the point zero comma one and continuing towards infinity

here are the answers

What is the equation of the following graph in vertex form?

 y = (x − 1)² 

y = (x − 1)² + 1

 y = (x + 1)² − 1 

y = (x + 1)²

Answer 1

The vertex form in general is y = a(x-h)²+k, where (h,k) is the point of vertex[In this case the a 1]. From the information here we can see that the vertex is (-1,0) because it said "turning at the point negative one comma zero" the vertex is the point where the parabola changes direction. So, filling in everything we have

y = 1(x-(-1))²+(0) which in turn is y = (x+1)².