Question

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

Answer 1

y = (x – 1)2 - 3 equation is the correct equation that passes through the point (1,-3).

Option: C.

Step-by-step explanation:

The given coordinate is (1,-3).

To find the equation substitute the coordinate point into the given equations and equate the final values.

1) y = (х + 1)2 + 3.

Substitute the point,

-3 =(1+1)2+3.

-3=2(2)+3.

-3=4+3.

-3≠7.

2) y = (х + 1)2 - 3.

Substitute the point,

-3=(1+1)2 - 3.

-3=(2)2 - 3.

-3 = 4 - 3.

-3 ≠ 1.

3) y = (x – 1)? - 3

Each equation is given in the format ( x ± 1 ) 2 ± 3.

∴in this equation also let us consider the unknown value as 2.

⇒ y = (x – 1)2 - 3.

Substitute the point,

-3 = (1 - 1 ) - 3.

-3 =0 - 3.

-3 = -3

∴3rd linear equation is the correct equation that passes through the point (1,-3).

4) y  = (х – 1)2 + 3.

Let us substitute the another equation also to confirm the answer.

-3 = (1 - 1) 2+3.

-3 =0+3.

-3≠3.