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Ashraf82

The coordinates of x-intercepts of the graph of y = (x - 3)(x + 2) are (3 , 0) and (-2 , 0) ⇒ 4th answer

Step-by-step explanation:

The x-intercepts of a quadratic function is the values of x when y equal to zero

If y = (x - a)(x + b), then to find x-intercepts do that:

  • Put y = 0
  • Equate each bracket by zero
  • Find the two values of x ( x = a , x = -b)
  • The x-intercepts are (a , 0) and (-6 , 0)

∵ The equation of the graph is y = (x - 3)(x + 2)

- To find the x-intercepts equate y by 0

∴ (x - 3)(x + 2) = 0

- Equate each bracket by 0

∵ x - 3 = 0

- Add x to both sides

∴ x = 3

∵ x + 2 = 0

- Subtract 2 from both sides

∴ x = -2

∴ The graph intersects the x-axis at points (3 , 0) and (-2 , 0)

The coordinates of x-intercepts of the graph of y = (x - 3)(x + 2) are (3 , 0) and (-2 , 0)

Learn more:

You can learn more about the quadratic function in brainly.com/question/1332667

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