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Which of the following is the graph of the function y=x+2 ?(1 point)

option 1: (-2,0) (0,2)

option 2: (-4,2) (-2,0) (0,2)

option 3: (0,2) (2,0)

option 4: (-2,0) (0,2) (2,0)

1 answer

To find which option represents the graph of the function \( y = x + 2 \), we can substitute the x-values from each option into the equation and see if the corresponding y-values match.

  1. Option 1: (-2,0) (0,2)

    • For \( x = -2 \): \( y = -2 + 2 = 0 \) (This point is correct)
    • For \( x = 0 \): \( y = 0 + 2 = 2 \) (This point is correct)

  2. Option 2: (-4,2) (-2,0) (0,2)

    • For \( x = -4 \): \( y = -4 + 2 = -2 \) (This point is incorrect)
    • For \( x = -2 \): \( y = -2 + 2 = 0 \) (This point is correct)
    • For \( x = 0 \): \( y = 0 + 2 = 2 \) (This point is correct)

  3. Option 3: (0,2) (2,0)

    • For \( x = 0 \): \( y = 0 + 2 = 2 \) (This point is correct)
    • For \( x = 2 \): \( y = 2 + 2 = 4 \) (This point is incorrect)

  4. Option 4: (-2,0) (0,2) (2,0)

    • For \( x = -2 \): \( y = -2 + 2 = 0 \) (This point is correct)
    • For \( x = 0 \): \( y = 0 + 2 = 2 \) (This point is correct)
    • For \( x = 2 \): \( y = 2 + 2 = 4 \) (This point is incorrect)

Based on this analysis, the points in Option 1 \( (-2,0) \) and \( (0,2) \) both satisfy the equation \( y = x + 2 \).

Final answer: Option 1: (-2,0) (0,2).