直线与抛物线相交的方程

GeoGebra 命令及参数

1. LaTeX("\textbf{Instructions: }The graph displays the quadratic relation \(y=x(x-4)\) and a line with a slope of \(-2\).\\Changing the slider changes the \(y\)-intercept of the line. Use the graph to answer the questions below.") → INSTRUCTIONS
2. LaTeX("\textbf{Question: }What is the equation of a line that intersects a given parabola a set number of times?") → QUESTION
3. LaTeX((((("\text{" * QUESTION) * "\\") * INSTRUCTIONS) * "}")) → TEXT
4. Textfield(userAnswerA) → ansBoxA
5. Textfield(userAnswerC) → ansBoxC
6. Textfield(userAnswerB) → ansBoxB
7. Intersect(quadratic, linear) → A, B
8. LaTeX("\text{a) What is the equation of a line with slope \(-2\)\\that intersects \(y=x(x-4)\) twice?}") → question1
9. LaTeX("\text{b) What is the equation of a line with slope \(-2\)\\that does not intersect \(y=x(x-4)\) at all?}") → question2
10. LaTeX("\text{c) What is the equation of the line with slope \(-2\)\\that intersects \(y=x(x-4)\) exactly once?}") → question3
11. UnicodeToLetter(10003) → cmark
12. UnicodeToLetter(10007) → xmark
13. LaTeX("\(y=\)") → eqLabelC
14. LaTeX("\(y=\)") → eqLabelB
15. LaTeX("\(y=\)") → eqLabelA
16. Polygon({(-6.75, -10.75), (-6.75, 10.75), (12.75, 10.75), (12.75, -10.75)}) → viewBox
17. LaTeX(("y\text{-intercept}\!=\!" * b)) → interceptLabel