# SAT Math Multiple Choice Question 574: Answer and Explanation

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**Question: 574**

**4.**

The following quadratic equations are all representations of the graph shown above. Which equation could you use to find the minimum value of the function, without doing any additional work?

- A.
- B.
- C.
- D.

**Correct Answer:** A

**Explanation:**

A

Difficulty: Easy

Category: Passport to Advanced Math / Quadratics

Strategic Advice: Quadratic equations can be written in several different forms, each of which reveals something special about the graph. For example, factored form reveals the solutions, or x-intercepts, of the graph, while standard form reveals the y-intercept.

Getting to the Answer: The minimum value of a quadratic function is equal to the y-value of the vertex of its graph, so vertex form, y = a(x – h)2 + k, reveals the minimum without doing any additional work. Choice (A) is the only equation written in this form and therefore must be correct. The minimum value of this function is .