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Determine the equation of the graph and select the correct answer below.
Courtesy of Texas Instruments

Determine the equation of the graph and select the correct answer below. Courtesy of Texas Instruments class=

Answer :

Answer:

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

Step-by-step 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:

[tex]y=(x-1)^{2}-3[/tex]

Step-by-step 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 [tex]y=a(x-h)^{2} +k[/tex], we can find the equation. First, we need to find [tex]a[/tex]

[tex]y=a(x-h)^{2} +k\\-2=a(0-1)^{2}-3\\-2+3=a\\a=1[/tex]

Therefore, the equation is

[tex]y=(x-1)^{2}-3[/tex]

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

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