![]() Use the blue slider to vary the value of the linear term b. Changing c translates the graph vertically by adding a constant value to all y-coordinates on the graph, as shown by the Vertex Form of the equation. Notice how the graph slides straight up or down, without changing its shape at all. Use the green slider to vary the value of c, the constant term. a is the vertical dilation factor for this function, as shown by the Vertex Form of the equation. Notice how the graph becomes wider or taller, and reflects vertically about the x-axis when a becomes negative. Use the red slider to vary the value of a, the coefficient of the squared term. The first equation is in "Standard Form", the second in "Vertex Form" (start with the Standard Form, then complete the square), and the remaining ones expand the Vertex Form for reasons that will be explained below. Note that the vertex of the parabola is identified on the graph as point V, with its coordinates shown.īelow the three sliders are a series of equivalent equations, each of which describes the graph being shown. You may click and drag them left or right to alter the value of each coefficient, and the graph will change to reflect the new value. The graph below contains three sliders, one for each coefficient. However, changing the value of b causes the graph to change in a way that puzzles many. Changing either a or c causes the graph to change in ways that most people can understand after a little thought. with or without a leading 1 coefficient, and supports the spectrum of representations for negative coefficients.A quadratic equation in "Standard Form" has three coefficients: a, b, and c. The evaluation considers multiple representations of the evaluated polynomial which would all be valid outputs, e.g. If there is anything else that makes your eval worth including, please document it below. Include at least 100 high quality examples (it is okay to only contribute 5-10 meaningful examples and have us test them with GPT-4 before adding all 100).This means either a correct answer for Basic evals or the Fact Model-graded eval, or an exhaustive rubric for evaluating answers for the Criteria Model-graded eval. Includes good signal around what is the right behavior. ![]() Contains failures where a human can do the task, but either GPT-4 or GPT-3.5-Turbo could not.For example, we can create an eval on cases where the model fails to reason about the physical world. We'd like to see a number of prompts all demonstrating some particular failure mode. Thematically consistent: The eval should be thematically consistent.In general, we are seeking cases where the model does not do a good job despite being capable of generating a good response (note that there are some things large language models cannot do, so those would not make good evals). Criteria for a good eval ✅īelow are some of the criteria we look for in a good eval. It tests the model's ability to provide reason about patterns and to solve for unknown variables, skills that are important for a variety of practical applications, such as in engineering and physics. This eval is useful because it tests the model on its ability to correctly apply the mathematical concepts of quadratic functions, which are commonly taught in middle and high school mathematics. The purpose of this evaluation is to test the model's ability to find the equation of a quadratic polynomial given three points on it. Quadratic-from-three-points Eval description We encourage partial PR's with ~5-10 example that we can then run the evals on and share the results with you so you know how your eval does with GPT-4 before writing all 100 examples. ![]() Stay tuned! Until then, you will not be able to see the eval performance on GPT-4. We plan to roll out a way for users submitting evals to see the eval performance on GPT-4 soon. Please run your eval with GPT-3.5-Turbo, but keep in mind as we run the eval, if GPT-4 gets higher than 90% on the eval, we will likely reject since GPT-4 is already capable of completing the task. ![]() We are aware that right now, users do not have access, so you will not be able to tell if the eval fails or not. In order for a PR to be merged, it must fail on GPT-4. Note that even if the criteria are met, that does not guarantee the PR will be merged nor GPT-4 access granted. □ Please make sure your PR follows these guidelines, failure to follow the guidelines below will result in the PR being closed automatically. ![]()
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