Question

What strategy can be used to transform a quadratic function in vertex form to standard form

Answer 1

To transform a quadratic function in vertex form to standard form, use the FOIL method to expand and simplify the expression.

Step-by-step explanation:

To transform a quadratic function in vertex form (y = a(x-h)^2 + k) to standard form (y = ax^2 + bx + c), you can use the FOIL method to expand the squared term and simplify the expression. Here's a step-by-step strategy:

1. Distribute the power to both terms inside the parentheses. For example, if the vertex form is y = 2(x-3)^2 + 5, distribute the power of 2 to (x-3): y = 2(x^2 - 6x + 9) + 5.
2. Fully expand and simplify the expression. In our example, y = 2x^2 - 12x + 18 + 5.
3. Combine like terms, if any. In our example, y = 2x^2 - 12x + 23.