Chapter9: Quadratic Equations And Functions
Section9.7: Graph Quadratic Functions Using Transformations
Problem 9.119TI: Graph f(x)=x2+2x3 by using transformations.
Related questions
Question
Sketch the graph of f(x) = -(x-3)2 + 4 using standard transformation techniques.
Expert Solution
Step 1
Suppose the basic function is
Now,
The graph is
Step 2
Now,
Reflect the graph of y over the x-axis.
The graph formed is
Now,
Translate the graph horizontally right by 3 units.
The function graph formed is
Now,
Shift the graph vertically up by 4 units.
The function graph formed is
Step by step
Solved in 3 steps with 5 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Recommended textbooks for you
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage