In the graph provided, the key points $A$, $B$, and $C$ represent specific features of the quadratic curve. Here's how each point is identified:

1. Point A (at $x = 0$, $y = 5$): This is the y-intercept of the parabola.
2. Point B (at $x = 2$, $y = 25$): This is the vertex or maximum point of the parabola because it reaches the highest height.
3. Point C (at $x = 4$, $y = 5$): This is the x-intercept where the curve intersects the $x$-axis.

Summary:

• Point A: y-intercept
• Point B: vertex (maximum point)
• Point C: x-intercept

Would you like me to explain more about the significance of these points or how they relate to a quadratic function? Let me know if you need further clarification!

Related Questions:

1. What is the general form of a quadratic function?
2. How do you find the vertex of a parabola algebraically?
3. How can you determine the x-intercepts of a quadratic graph?
4. What does the axis of symmetry represent on a parabola?
5. How can you identify the y-intercept from a quadratic equation?

Tip: The vertex is a key point in the graph of a parabola and is either the highest (maximum) or lowest (minimum) point, depending on the orientation of the curve.