Gambarkan grafik fungsi y = x2 – 5x – 3 dan fungsi y = x – 2 dan tunjukkan titik potong kedua fungsi tersebut.

The graph of the functions \( y = x^2 - 5x - 3 \) (blue curve) and \( y = x - 2 \) (red line) shows two points of intersection. The coordinates of these points are approximately:

1. \( (6.16, 4.16) \)
2. \( (-0.16, -2.16) \)

These are the points where both functions intersect on the graph.

Would you like further details, or do you have any questions?

Here are five related questions to explore further:
1. How do you find the intersection points algebraically?
2. Can we find the tangent lines at the intersection points?
3. What is the significance of the roots of a quadratic function?
4. How does the graph of \( y = x^2 - 5x - 3 \) shift compared to \( y = x^2 \)?
5. How would the graph change if we modify the linear function \( y = x - 2 \)?

**Tip:** Intersection points of two functions occur where the values of the functions are equal at the same \( x \). Solving the equation \( f(x) = g(x) \) helps find these points.

Learn how to graph the quadratic function y = x^2 - 5x - 3 and the linear function y = x - 2, and find their points of intersection. This detailed solution covers key algebraic concepts and graphing techniques suitable for students in Grades 9-10.

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