Question

Sketch the graph of the quadratic y=-2(x+3)² +8 by using a series of transformations. Show all of the transformed tables.

Answer 1

In order to sketch the graph of y=-2(x+3)² +8, start with the parent function f(x) = x² and apply a series of transformations.

Step-by-step explanation:

Sketching the Graph of y=-2(x+3)² +8

• Start with the parent function f(x) = x². Plot a few points to create a base graph.
• Apply the -2 coefficient, which reflects the graph vertically. Multiply the y-values by -2.
• Apply the +3 horizontal shift by replacing x with (x-3). Subtract 3 from the x-values.
• Apply the vertical shift of +8 by adding 8 to the y-values.

Here are the transformed coordinates:

(-2, 14), (0, 8), (2, 14)

Plot these points on the graph to represent the transformed quadratic curve.