Question

Determine the equation of the graph and select the correct answer below.

Courtesy of Texas Instruments

Answer 1

If I remember the format correctly, then I think it's y=(x-1)^2-3

Explanation:

It's a standard quadratic parabola (not stretched in any way), X coordinate of the vertex inside the parentheses (sign is opposite though), and the y coordinate outside (sign is not opposite)

Answer 2

`y=(x-1)^(2)-3`

Explanation:

According to the graph, the vertex of the parabola is at (1,-3), which means h = 1 and k = -3

Also, the parabola has y-intercept at (0,-2).

Using this information and the form
`y=a(x-h)^(2) +k`, we can find the equation. First, we need to find
`a`

`y=a(x-h)^(2) +k\\-2=a(0-1)^(2)-3\\-2+3=a\\a=1`

Therefore, the equation is

`y=(x-1)^(2)-3`

(The image attached shows the graph of our function, notice that it's the same)