How does the value of a affect the graph of a monomial function?

A. As |a| increases, the graph widens; as |a| decreases, the graph narrows.

B. As |a| increases, the graph narrows; as |a| decreases, the graph widens.

C. As |a| increases, the graph translates to the right; as |a| decreases, the graph translates to the left.

D. As |a| increases, the graph translates up; as |a| decreases, the graph translates down.

Question

Clara Dennis

Mathematics

20 January, 12:17

How does the value of a affect the graph of a monomial function?

A. As |a| increases, the graph widens; as |a| decreases, the graph narrows.

B. As |a| increases, the graph narrows; as |a| decreases, the graph widens.

C. As |a| increases, the graph translates to the right; as |a| decreases, the graph translates to the left.

D. As |a| increases, the graph translates up; as |a| decreases, the graph translates down.

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Answers (1)

Know the Answer?

Johnathan Tran · Answer 1

A monomial function has this form: ax^n

The coefficient "a" modifies the graph of the function by stretching it as ia"grows.

A big absolute value of "a", i. e. |a| will result is an elgongated function.

The answer is the option B. As |a| increases, the graph narrows; as |a| decreases, the graph widens.