Y =x^3 is scaled by -2. What happens to the graph?
in Algebra 2 Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

It’s assumed that by scaled you mean x➝-2x and y➝-8x³.

The minus sign inverts or reflects the graph in the x-axis. The factor 2 makes the curve narrower or elongated. For example, when x=1, the original curve passes through (1,1), but after the transformation this point becomes (1,-8). When x=2, (2,8)➝(2,-64). When x=½, (½,⅛)➝(½,-1). The origin is unaffected.

The red curve is the original and the blue curve is its transformation after scaling. Note that the saddle point at the origin becomes quite narrow.

by Top Rated User (711k points)

Related questions

1 answer
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
84,415 questions
89,235 answers
1,990 comments
7,537 users