Question

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

the graph shows a positive parabola with the vertex at, (-1,0) and passes through (0,1) and (-2,1)
Answers
y = (x − 1)2
y = (x − 1)2 + 1
y = (x + 1)2 − 1
y = (x + 1)2

Answer 1

(x+1)^2

Explanation:

Answer 2

Vertex form uses the following formula:

`a(x-h)^2 + k`

a determines the stretch of the parabola. h and k are the x and y values of the vertex (h, k), respectively.

The vertex is at (-1, 0). There is no a value indicated for any answer. Plug these values into the equation:

`\text{h = -1, k = 0}`

`(x - (-1))^2 + 0`

`\boxed{(x+1)^2}`

The answer is (x+1)^2.