Maths-
General
Easy

Question

The function f is a linear function. The y - intercept of the graph of y = f(x) in the xy -plane is (0, - 12). What is the y-intercept of the graph of y = f(x) + 2 ?

  1. (0, -14)    
  2. (0, -10)    
  3. (-2, -12)    
  4. (2, -12)    

The correct answer is: (0, -10)


    The x - intercept is the point where a line crosses the x - axis, and the y - intercept is the point where a line crosses the y - axis. Those points are of the form (x, 0) and (0, y) respectively.
    Explanation:
    Step 1 of 2:
    The y-intercept of the graph of y = f(x) in the xy - plane is (0, - 12).
    therefore f open parentheses 0 close parentheses equals y equals negative 12
    Step 2 of 2:
    Now, the y-intercept of the graph of y equals f open parentheses x close parentheses plus 2 is given by,
    y equals f open parentheses 0 close parentheses plus 2
    rightwards double arrow y equals negative 12 plus 2 equals negative 10
    Hence, it is open parentheses 0 comma negative 10 close parentheses.
    Final Answer:
    The required y - intercept is — (0, - 10).

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