Question

Explain the procedure (but don't create the graph) for graphing the quadratic function in vertex form f(x) = 2(x - 3)^2 - 1 using pencil and paper. Your explanation should show your understanding of using the perfect squares pattern from the vertex. Explain the entire process. please help

Answer 1

Explanation:

Let's break down the equation for every operation on x

2(x-3)^2-1

1. Multiplying 2 to the entire equation - a vertical expansion/stretch of 2

2. Subtracting 3 from the inside of the function (x) - shifting the graph 3 units to the right

3. ^2 As a quadratic, this is a U shaped graph.

4. Subtracting 1, vertically shifting the graph down 1 unit