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