25.5k views
3 votes
Sketch the graph of the quadratic y=-2(x+3)² +8 by using a series of transformations. Show all of the transformed tables.

User Jagsaund
by
8.0k points

1 Answer

0 votes

Final answer:

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.

Sketch the graph of the quadratic y=-2(x+3)² +8 by using a series of transformations-example-1
User Gregg Bursey
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories