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Determine the 
y-intercept of the following equation.

(x+3)(x-1)=y

(-3,0)

(0,3)

(3,0) and 
(1,0)

(0,-3)

(-3,0) and 
(1,0)

(0,-3) and 
(0,1)

Determine the y y -intercept of the following equation.\newline(x+3)(x1)=y (x+3)(x-1)=y \newline(3,0) (-3,0) \newline(0,3) (0,3) \newline(3,0) (3,0) and (1,0) (1,0) \newline(0,3) (0,-3) \newline(3,0) (-3,0) and (1,0) (1,0) \newline(0,3) (0,-3) and (0,1) (0,1)

Full solution

Q. Determine the y y -intercept of the following equation.\newline(x+3)(x1)=y (x+3)(x-1)=y \newline(3,0) (-3,0) \newline(0,3) (0,3) \newline(3,0) (3,0) and (1,0) (1,0) \newline(0,3) (0,-3) \newline(3,0) (-3,0) and (1,0) (1,0) \newline(0,3) (0,-3) and (0,1) (0,1)
  1. Identify y-intercept: Identify the y-intercept from the equation.\newlineThe y-intercept occurs where x=0x=0. To find the y-intercept, we substitute x=0x=0 into the equation and solve for yy.
  2. Substitute x=0x=0: Substitute x=0x=0 into the equation.\newline(x+3)(x1)=y(x+3)(x-1)=y\newline(0+3)(01)=y(0+3)(0-1)=y\newliney=3×(1)y = 3 \times (-1)\newliney=3y = -3
  3. Confirm y-intercept: Confirm the y-intercept.\newlineThe y-intercept is the point where the graph of the equation crosses the y-axis. Since we have found yy to be 3-3 when xx is 00, the y-intercept is (0,3)(0, -3).

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