Question

Explain how to use a calculator to convert a quadratic equation from vertex form to factored form.

Answer 1

To convert a quadratic equation from vertex form to factored form using a calculator, identify the values of a, h, and k from the vertex form and use the distributive property to expand the equation. Then, factor out the common factor a, complete the square inside the parentheses, and the equation will be in factored form.

Step-by-step explanation:

To convert a quadratic equation from vertex form to factored form using a calculator:

1. Start with the quadratic equation in vertex form: y = a(x - h)^2 + k
2. Identify the values of a, h, and k from the vertex form.
3. Use the distributive property to expand the equation: y = ax^2 - 2ahx + ah^2 + k
4. Factor out the common factor a from the first two terms: y = a(x^2 - 2hx + h^2) + k
5. Complete the square inside the parentheses: y = a(x - h)^2 + k
6. The quadratic equation is now in factored form.