Graphing quadratic and linear functions can be tough, especially for Year 10 students.

1. The Shape of Graphs:

• Linear functions make straight lines. They follow the formula $y = mx + c$. Here, $m$ is the slope, which tells you how steep the line is. This may seem easy at first, but many students find slope confusing.

• Quadratic functions create curves called parabolas. Their formula looks like $y = ax^2 + bx + c$. It can be hard to understand how the letters $a$, $b$, and $c$ change the shape of the curve.

2. Extra Features:

• Quadratic functions have special points, like the vertex and the axis of symmetry. These are not present in linear functions. Many students have a hard time finding these points, and if they make mistakes, it can really change how the graph looks.

3. Solving Problems:

• One way to make understanding easier is by sketching out possible graphs based on different formulas. Using tools like graphing calculators or software can help too. These tools give quick feedback, making it simpler to see differences and learn the concepts.

Even though there are challenges, with practice and the right tools, students can definitely learn how to graph both linear and quadratic functions.