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MMLU-Pro / 8714 / Let f(x)=((x−2)²−9)/(3). The equation y=f(x) is graphed, and the x-…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Let f(x)=(x−2)2−93f(x)=\frac{(x-2)^2-9}{3}. The equation y=f(x)y=f(x) is graphed, and the xx- and yy-intercepts of the graph are connected to form a polygon. What is the area of that polygon?
Plain-text mathematical notation (without MathML)
Let f(x)=((x−2)²−9)/(3). The equation y=f(x) is graphed, and the x- and y-intercepts of the graph are connected to form a polygon. What is the area of that polygon?
Original LaTeX notation
Let $f(x)=\frac{(x-2)^2-9}{3}$. The equation $y=f(x)$ is graphed, and the $x$- and $y$-intercepts of the graph are connected to form a polygon. What is the area of that polygon?

category

math

options

  1. \frac{5\sqrt{3}}{2}
  2. 5
  3. \frac{15}{2}
  4. \frac{10}{3}
  5. \frac{25}{4}
  6. \frac{25}{6}
  7. 4
  8. \frac{25}{3}
  9. \frac{\sqrt{2465}{9}
  10. 2

src

ori_mmlu-high_school_mathematics

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Source and history

upstream_id / Original problem ID
8714
task_id
3f26b6e1-b38a-5e9f-95c6-3434b630a601
task_key
default--test--8714
task_revision_id
1
config / split
default / test

Official source

initial import