2Given the Equation or Other Information for a Parabola, Find $$\begin{array} { l } f ( x ) = a x ^ { 2 } + b x + c \\a < 0 ; b ^ { 2 } - 4 a c = 0\end{array}$$

question 219

Multiple Choice

2Given the equation or other information for a parabola, find the matching description or graph.
- $$\begin{array} { l } f ( x ) = a x ^ { 2 } + b x + c \\a < 0 ; b ^ { 2 } - 4 a c = 0\end{array}$$

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Definitions:

Weakly Convex

Describes a curve or set in geometry and mathematical functions that bulges outward less sharply than a perfectly convex shape, often applied in optimization problems.

Convex Preferences

A representation in economics of a consumer preference structure where a mix or combination of two goods is preferred over either of the two goods alone, indicating a desire for diversification.

Indifference Curves

A graphical representation of different bundles of goods between which a consumer is indifferent, showing the same level of satisfaction or utility for each point on the curve.

Downward Sloping

A characteristic of a graph or curve that shows a decrease in one variable as the other variable increases, often related to demand curves in economics.