SAT Math Multiple Choice Question 380: Answer and Explanation

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Test Information

Question: 380


The figure above shows the graph of p(x) - 4. What is the value of p(0)?

  • A. 3
  • B. 4
  • C. 7
  • D. 11

Correct Answer: D



Difficulty: Hard

Category: Passport to Advanced Math / Functions

Strategic Advice: A constant added or subtracted inside a function will shift the function left or right, while a constant added or subtracted from the outside will shift the function up or down.

Getting to the Answer: Be careful—you're looking for the value of p(0), but the graph shows p(x) – 4, which means the original graph has been shifted down 4 units. You'll need to find the y-value of the graph when x = 0, then add 4 to get back up to the original function. The graph passes through the point (0, 7), so p(0) – 4 = 7. Add 4 to both sides of the equation to get p(0) = 7 + 4 = 11.

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