Half-life and population doubling

What you'll learn

• Identify the vertex (h, k) from the equation of a parabola in general form, and transform the equation into vertex form with 100% accuracy on a formative assessment.
• Solve problems by writing the equation of a parabola in vertex form given the vertex and one other point on the parabola, demonstrating the correct algebraic steps in at least 4 out of 5 attempts on a problem set.
• Explain the relationship between the parameters (h, k, a) in the vertex form of a parabola (y = a(x - h)^2 + k) and the graph's translation, reflection, and dilation, justifying their reasoning in a written explanation assessed using a rubric with specific criteria for mathematical accuracy and clarity.
• Apply the method of completing the square to convert a quadratic equation from general form to vertex form, achieving 80% accuracy on a summative assessment.