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The graph of y=2x2 + 10x +12 is shown. If the graph crosses the y axis at the point (0,k), what is the value of k?

Correct answer: D. 12

  • A. 2
  • B. 6
  • C. 10
  • D. 12

Explanation

To find where the graph crosses the y-axis, substitute x = 0 into y = 2x2 + 10x + 12. Simplifying gives y = 12, showing the intersection point as (0, 12). The correct answer is k = 12. Options 2, 6, and 10 are incorrect due to errors in substitution or calculation when x = 0 in the equation.

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About Quantitative Reasoning

Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.

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