SAT Math Multiple Choice Question 318: Answer and Explanation

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Question: 318

3.

Which of the following could be the factored form of the equation graphed in the figure shown?

  • A. y = (2x + 1)(4x – 3)
  • B. y = (x + 2)(x – 3)
  • C.
  • D.

Correct Answer: A

Explanation:

A

Difficulty: Medium

Category: Passport to Advanced Math / Quadratics

Strategic Advice: Factored form of a quadratic equation reveals the roots, or x-intercepts, of the equation, so start by identifying the x-intercepts on the graph.

Getting to the Answer: An x-intercept is an x-value that corresponds to a y-value of 0. Read the axis labels carefully-each grid-line represents so the x-intercepts of the graph, and therefore the roots of the equation, are and This means you are looking for factors that when solved result in these values of x. Choice (A) is correct because 2x + 1 gives you and 4x - 3 gives you

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