Math  /  Algebra

QuestionThe graph shows the number of views yy (in thousands) for a new online video, tt days after it was posted. Use transformations on a parent function to model these data. Españo
Number of Views by Day Number tt - Day Number yy - Number of Views (1000s) Basic Functions Quadratic function: y=t2y=t^{2} Square root function: y=ty=\sqrt{t} Absolute value function: y=ty=|t| Reciprocal function: y=1ty=\frac{1}{t}
Steps for Graphing Multiple Transformations of Functions To graph a function requiring multiple transformations, use the following order.
1. Horizontal translation (shift)
2. Horizontal and vertical stretch and shrink
3. Reflections across the xx - and yy-axis.
4. Vertical translation (shift) Save For Later Submit Assignment

Studdy Solution
Let's verify our transformed function y=5t2+3 y = 5t^2 + 3 fits all the data points: For (0, 3): y=5(0)2+3=3 y = 5(0)^2 + 3 = 3 ✓ For (2, 23): y=5(2)2+3=5(4)+3=20+3=23 y = 5(2)^2 + 3 = 5(4) + 3 = 20 + 3 = 23 ✓ For (4, 83): y=5(4)2+3=5(16)+3=80+3=83 y = 5(4)^2 + 3 = 5(16) + 3 = 80 + 3 = 83
The model that best fits the data is:
y=5t2+3 y = 5t^2 + 3
where y y represents the number of views in thousands and t t represents the number of days after the video was posted.

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