Math  /  Algebra

Questioncorresponding transformations. b) Sketch a graph of y=14[2(x1)]4+2y=\frac{1}{4}[-2(x-1)]^{4}+2.

Studdy Solution
Combine all the transformations to sketch the final graph of y=14[2(x1)]4+2 y = \frac{1}{4}[-2(x-1)]^4 + 2 .
1. Start with y=x4 y = x^4 .
2. Shift it right by 1 unit to get y=(x1)4 y = (x-1)^4 .
3. Compress it horizontally by a factor of 12 \frac{1}{2} and reflect it across the y-axis to get y=[2(x1)]4 y = [-2(x-1)]^4 .
4. Compress it vertically by a factor of 14 \frac{1}{4} to get y=14[2(x1)]4 y = \frac{1}{4}[-2(x-1)]^4 .
5. Shift it up by 2 units to get the final graph y=14[2(x1)]4+2 y = \frac{1}{4}[-2(x-1)]^4 + 2 .

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord