Question
In Problems $19-30$, graph the function $f$ by starting with the graph of $y=x^{2}$ and using transformations (shifting, compressing, stretching, and/or reflection).$$f(x)=2(x-1)^{2}-1$$
Step 1
We can choose values from -2 to 2 for x and calculate the corresponding y values. The points we get are (-2,4), (-1,1), (0,0), (1,1), and (2,4). Show more…
Show all steps
Your feedback will help us improve your experience
Erika Bustos and 72 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
In Problems $19-30$, graph the function $f$ by starting with the graph of $y=x^{2}$ and using transformations (shifting, compressing, stretching, and/or reflection). $$ f(x)=-x^{2}-2 x $$
Linear and Quadratic Functions
Properties of Quadratic Functions
In Problems $19-30$, graph the function $f$ by starting with the graph of $y=x^{2}$ and using transformations (shifting, compressing, stretching, and/or reflection). $$ f(x)=(x+2)^{2}-2 $$
In Problems $19-30$, graph the function $f$ by starting with the graph of $y=x^{2}$ and using transformations (shifting, compressing, stretching, and/or reflection). $$ f(x)=\frac{1}{4} x^{2}-2 $$
Transcript
600,000+
Students learning Algebra with Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD