# SAT Math Multiple Choice Question 911: Answer and Explanation

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**Question: 911**

**11.** If *g*(*x*) represents a quadratic function, which of the following best describes the relationshipbetween the graphs of *g*(*x*) and *g*(*x* – 3)?

- A. The graph of
*g*(*x*– 3) is 3 units to the left of the graph of*g*(*x*). - B. The graph of
*g*(*x*– 3) is 3 units to the right of the graph of*g*(*x*). - C. The graph of
*g*(*x*– 3) is 3 units lower than the graph of*g*(*x*). - D. The graph of
*g*(*x*– 3) is 3 units higher than the graph of*g*(*x*).

**Correct Answer:** B

**Explanation:**

**B**

**Difficulty:** Easy

**Category:** Passport to Advanced Math / Functions

**Strategic Advice:** When working with function notation, transformations that are grouped with the *x* (here, inside the parentheses) represent horizontal shifts, which are always the opposite of how they appear. For example, the transformation *f*(*x* + *a*) represents a shift to the *left* while *f*(*x* - *a*) represents a shift to the *right*.

**Getting to the Answer:** The - 3 is grouped with the *x,* so the graph of *g*(*x* - 3) is a horizontal shift that is 3 units to the right of the original graph, making (B) correct.