You Are Given a Graph of a Function of the Form

question 260

Multiple Choice

You are given a graph of a function of the form $f ( x ) = a x ^ { 2 } + b x + c$ for different values of $a , b$ , and $c$ . For this function,
a. Determine whether the discriminant is positive, negative, or zero.
b. Determine if there are 0,1 , or 2 real solutions to $f ( x ) = 0$ .
c. Solve the equation $f ( x ) = 0$ .
-A grasshopper is perched on a reed 5 inches above the ground. It hops off the reed and lands on the ground about 7.9 inches away. During its hop, its height is given by the equation $$h = - 0.3 x ^ { 2 } + 1.75 x + 5$$ , where x is the
Distance in inches from the base of the reed, and h is in inches. How far was the grasshopper from the base of
The reed when it was 3.25 inches above the ground? Round to the nearest tenth.

• A) 0.9 in.
• B) 6.7 in.
• C) 7.9 in.
• D) 1.3 in.

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Definitions:

Group's Interaction

The ways in which members of a group communicate, collaborate, and influence each other's behaviors and attitudes.

Problem-Solving

The process of identifying solutions to specific issues or challenges.

Decision-Making Skills

Abilities relating to the process of making choices by identifying, assessing, and selecting among several alternatives based on reasoning and judgment.

Self-Determination

The right or ability of individuals and communities to make their own choices and decisions, free from external compulsion.