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# Under what circumstances would graphs that look the same have polynomial equations of a higher degree?

Consider the graphs of y = (x-1)² and y = (x-1)⁴

How are these graphs similar? How are they different?

### 2 Answers

- 7 years agoFavorite Answer
both are parabolas with even degrees, the higher the degree the more "compressed" the base becomes.

Under what circumstances as the degree gets higher??? Well that depends if it's leading coefficient is pos/neg and whether the degree is odd/even.

An even degree is always a parabola, either U-shaped or M/W-shaped depending if a<0, an odd degree looks something like an inverted S

- 4 years ago
even inspite of the undeniable fact that those appear as if greater-diploma polynomials, you are able to sparkling up them only like quadratics. enable y=x^2. Then the 1st equation turns into y^2 - 10y + 9 = 0. you are able to element this as (y-9)(y-a million)=0, so y=a million,9. ultimately, because of the fact that y=x^2, we've x=+/-sqrt(y), so the respond is x = +/-a million, +/-3. you are able to sparkling up each of something in this manner. (i anticipate subject 5 is a typo.)