SAT Math Multiple Choice Question 380: Answer and Explanation
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
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.