Graph the quadratic functions y = -2x^2 and y = -2x^2 + 4 on a separate piece of paper. Using those graphs, compare and contrast
the shape and position of the graphs.
I know that since both functions are quadratic functions, they will both have a parabola shape.
I know that since both functions are quadratic functions, they will both have a parabola shape.
1 answer:
The second function has a graph that is identical to that of the first function, except that it is shifted upward by 4 units.
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The thrust of this question is to get you to recognize that adding a constant to a function shifts its graph in the amount and direction of the constant value (positive ⇒ upward).
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The thrust of this question is to get you to recognize that adding a constant to a function shifts its graph in the amount and direction of the constant value (positive ⇒ upward).
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"Classify the polynomial by the number of terms" means a term contains both the variables and its coefficient. For example a "monomial" has one term like .
A binomial has 2 terms like
A trinomial has 3 terms like
And a polynomial has 4 or more terms.
So basically one can classify the type of polynomial by counting the number of terms in a given equation.