Answer
(a) A is positive, B is negative, C is negative, and D is positive
(b) B
(c) A
Explanation
Note: In a quadratic graph, if the leading coefficient is negative; the graph opens downward. If the leading coefficient is positive; the graph opens upward.
Mathematically, this implies:
[tex]\begin{gathered} \text{For the general quadratic equation,} \\ ax^2+bx+c=0 \\ if\text{ a }<0,(negative);\text{ the graph opens downward.} \\ if\text{ a }>0,(positive);\text{ the graph opens upward.} \end{gathered}[/tex]
(a) For each coefficient, whether positive or negative is given below:
A is positive
B is negative
C is negative
D is positive
(b) The closer the coefficient gets to zero, the wider the graph.
From the given graphs, the graph of y = Bx² is the widest. Hence, the coefficient closest to 0 is B.
(c) The greatest value is the positive coefficient which is the narrowest.
From the given graphs, the graph of y = Ax² is the narrowest. Hence, the coefficient with the greatest value is A
