Q24. For the quadratic function :

Background

Topic: Quadratic Functions (Vertex Form)

This question tests your understanding of how to find the vertex of a parabola and how to rewrite a quadratic function in vertex form. The vertex form of a quadratic function is useful for identifying the vertex and understanding transformations.

Key Terms and Formulas:

• Standard form of a quadratic:

• Vertex form: , where is the vertex

• Vertex formula: ,

Step-by-Step Guidance

1. Identify the coefficients: , , .

2. Find the x-coordinate of the vertex using .

3. Substitute the value of back into to find the y-coordinate of the vertex: .

4. Rewrite the function in vertex form by completing the square or using the vertex found above.

Try solving on your own before revealing the answer!