Transforming a quadratic equation from standard form to vertex form can be tricky for Year 8 students.

Let’s break it down into simpler parts:

The standard form looks like this:
$y = ax^2 + bx + c$
In this form, $a$, $b$, and $c$ are numbers.

The vertex form is written like this:
$y = a(x - h)^2 + k$
Here, $(h, k)$ is the vertex of the parabola, which is a special point on the graph.

Here’s How to Change It:

1. Find the values: Start by figuring out the numbers $a$, $b$, and $c$ from the standard form.

2. Calculate $h$: Use this formula to find $h$:
   $h = -\frac{b}{2a}$

3. Calculate $k$: To find $k$, plug the value of $h$ back into the original equation you started with.

4. Rewrite the equation: Now, write the equation using the vertex form.

Many students find this process hard because it involves some tricky algebra. But don't worry! With plenty of practice and some help, you can get the hang of it.