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Determine the 
y-intercept of the following equation.

(x-4)(x+2)=y

(-8,0)

(0,8)

(0,-8)

(-4,0) and 
(-2,0)

(4,0) and 
(-2,0)

(0,4) and 
(0,-2)

Determine the y y -intercept of the following equation.\newline(x4)(x+2)=y (x-4)(x+2)=y \newline(8,0) (-8,0) \newline(0,8) (0,8) \newline(0,8) (0,-8) \newline(4,0) (-4,0) and (2,0) (-2,0) \newline(4,0) (4,0) and (2,0) (-2,0) \newline(0,4) (0,4) and (0,2) (0,-2)

Full solution

Q. Determine the y y -intercept of the following equation.\newline(x4)(x+2)=y (x-4)(x+2)=y \newline(8,0) (-8,0) \newline(0,8) (0,8) \newline(0,8) (0,-8) \newline(4,0) (-4,0) and (2,0) (-2,0) \newline(4,0) (4,0) and (2,0) (-2,0) \newline(0,4) (0,4) and (0,2) (0,-2)
  1. Find y-intercept: We need to find the y-intercept of the equation (x4)(x+2)=y(x-4)(x+2)=y. The y-intercept occurs where x=0x=0. Let's substitute x=0x=0 into the equation to find the yy-value of the y-intercept.
  2. Substitute x=0x=0: Substitute x=0x=0 into the equation: (04)(0+2)=y(0-4)(0+2)=y.
  3. Calculate y: Calculate the value of y: (4)(2)=y (-4)(2)=y .
  4. Perform multiplication: Perform the multiplication: y=8y = -8.
  5. Identify y-intercept point: The y-intercept of the equation is the point where the graph crosses the y-axis, which is when x=0x=0. Therefore, the y-intercept is (0,8)(0, -8).

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