Question
Explain why the graph of $y=A f(x)$ is a vertical stretch of the graph of $y=f(x)$ when $A>1,$ and a vertical shrink when $A<1$.
Step 1
This function is a transformation of the original function $y=f(x)$, where every output value of $f(x)$ is multiplied by a constant $A$. Show more…
Show all steps
Your feedback will help us improve your experience
Brandon Cleary and 89 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
Explain why the graph of $y=A f(x)$ is a vertical stretch of the graph of $y=f(x)$ if $A>1$.
Functions, Graphs, and Models
Functions: Graphs and Transformations
Explain why the graph of $g(x)=|2 x|$ can be interpreted as a horizontal shrink of the graph of $f(x)=|x|$ or as a vertical stretch of the graph of $f(x)=|x|$.
Functions and Graphs
Transformations of Graphs
Let $f(x)=\left(\frac{1}{5}\right)^{x} \cdot$ The graph of $f(x)$ gets very close to the line $y=0$ (the $x$ -axis) as the value of $x$ gets larger. Why?
Exponential and Logarithmic Functions
Exponential Functions
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD