SAT Math Multiple Choice Question 337: Answer and Explanation

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Test Information

Question: 337


If line P shown in the graph is reflected over the x-axis and shifted up 3 units, what is the new y-intercept?

  • A. (0, –4)
  • B. (0, –2)
  • C. (0, 2)
  • D. (0, 4)

Correct Answer: D



Difficulty: Medium

Category: Heart of Algebra / Linear Equations

Strategic Advice: You can approach this question conceptually or concretely. When dealing with simple transformations, drawing a quick sketch is most likely the safest approach.

Getting to the Answer: You are only concerned about the y-intercept, so keep your focus there. When the graph is reflected over the x-axis, the y-intercept will go from (0, -1) to (0, 1). Next, the line is shifted up 3 units, which adds 3 to the y-coordinates of all the points on the line, making the new y-intercept (0, 4). A sketch is provided here:

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