Question

Look at the graphs and their equations below. Then fill in the information about the leading coefficients A overline B C and D

Answer 1

• A, B = Positive

,

• C, D = Negative

• The coefficient closest to 0 is D.

,

• The coefficient with the greatest value is A.

Explanation:

• The graphs of y=Ax² and y=Bx² ,open upwards,, therefore, ,the leading coefficients A and B are positive.

• The graphs of y=Cx² and y=Dx² ,open downwards,, therefore, ,the leading coefficients C and D are negative.

Next, the graph of y=Bx² is wider than the graph of y=Ax², therefore:

[tex]BSimilarly, the graph of y=Dx² is wider than the graph of y=Cx², therefore:[tex]CTherefore:[tex]C• The graph of y=Dx² is the widest, therefore, the coefficient closest to 0 is D.,

• The coefficient with the greatest value is A.