Question

Scenario 1:

Graph y = –2x2 + 6. Describe what you see.





–2x2 + 6 is what kind of polynomial? Classify the polynomial by degree and number of terms.





Next, graph y = (-1/10)x2 + 6. Describe what you see. How is what you observe here different from what you observed in part A?





If you wanted a really steep hill for your roller coaster, would you use the graph of y = –2x2 + 6 or
y = (-1/10)x2 + 6?

Answer 1

I'll do the first two..
the graph is a parabola shifted up by 6 units, and stretched by a factor of 1/2. and it is pointed down since the coefficient of -2x^2 is a negative.
It is a binomial, with a degree of 2. (two terms and -2x^2, has an exponent of 2)

Answer 2

Thanks