9) Let $j(x) = |x - 3| - 5$. a) Describe the transformations applied to the absolute value parent function to get the graph of $j(x)$. b) Sketch a \"good enough\" graph of $j(x)$. c) Label the $(x, y)$-coordinates of the \"corner point\" of $j(x)$. 10) The graph of the exponential $f(x) = \left(\frac{1}{2}\right)^x$ has been reflected over the x-axis and shifted left 3 units. Write the equation for this new function, $g(x)$. g(x) =
Added by Jon H.
Close
Step 1
To get the graph of j(x), we first shift the parent function 3 units to the right. This is done by replacing x with (x-3), so we have f(x-3) = |x-3|. Show more…
Show all steps
Your feedback will help us improve your experience
Keondre Parker and 78 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
Consider the following graph. Identify the parent function shown in the graph. f(x) = Identify the transformation shown in the graph. (Select all that apply.) vertical shift of 3 units downward vertical stretch horizontal shift of 3 units to the right vertical shrink reflection in the x-axis Write an equation for the function shown in the graph. Then use a graphing utility to verify your answer. g(x) =
Tim T.
Sketch the graph of $f(x)=x^{3}$ and the graph of the function $g .$ Describe the transformation from $f$ to $g .$ $$g(x)=(x-5)^{3}+1$$
Trigonometric Functions
Angles and Their Measure
Sketch the graph of $f(x)=x^{3}$ and the graph of the function $g .$ Describe the transformation from $f$ to $g .$ $g(x)=(x-3)^{3}$
Polynomial and Rational Functions
Polynomial Functions of Higher Degree
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD