Describe the transformation in each function as it relates to the graph of F(x) = x. A. g(x) = (-1/2x) B. g(x) = (2x) + 3 C. G(x) = _5/3x D. g(x) = 9x -4
Added by Caitlin M.
Step 1
g(x) = (-1/2)x This transformation involves a vertical compression by a factor of 1/2 and a reflection across the x-axis. The graph of g(x) will be "flatter" than the graph of F(x) and will be flipped upside down. B. g(x) = 2x + 3 This transformation involves a Show more…
Show all steps
Close
Your feedback will help us improve your experience
Breanna Ollech and 59 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Graph the function $f(x)=x^{2}+2 x-3 .$ Then graph the following transformations of the function. Describe how the parent function changes with each transformation. $$ \begin{array}{ll}{\text { a. } f(x)+3} & {\text { b. } 2[f(x)]} \\ {\text { c. } f(4 x)} & {\text { d. } f(x+5)}\end{array} $$
Quadratic Functions and Equations
Quadratic Functions
Describe the transformation that must be applied to the graph of $f(x)$ to obtain the graph of $g(x) .$ Then, determine the equation of $g(x)$ in the form $y=a f(b x)$
Function Transformations
Reflections and Stretches
Describing Transformations Explain how the graph of $g$ is obtained from the graph of $f .$ $$ \begin{array}{l}{\text { (a) } f(x)=x^{3}, g(x)=(x-4)^{3}} \\ {\text { (b) } f(x)=x^{3}, g(x)=x^{3}-4}\end{array} $$
Functions
Transformations of Functions
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Watch the video solution with this free unlock.
EMAIL
PASSWORD