Provide an Appropriate Response $y = a x ^ { 2 } + b x + c$

question 308

Multiple Choice

Provide an appropriate response.
-The curve $y = a x ^ { 2 } + b x + c$ passes through the point $( 2,12 )$ and is tangent to the line $y = 4 x$ at the origin. Find a, $b$ , and $c$ .

• A) a = 2, b = 0, c = 0
• B) a = 0, b = 1, c = 4
• C) a = 1, b = 4, c = 0
• D) a = 4, b = 0, c = 1

---

Definitions:

Observational Group

A group in a study that is exposed to the variable under investigation for observational purposes without receiving the experimental treatment.

Independent Variable

In experimental research, the variable that is manipulated by the researcher to observe its effect on the dependent variable.

Dependent Variable

A variable in research that is expected to change as a result of manipulations in the independent variable, used to measure the effect of those manipulations.

Controlled Variable

A factor in an experiment that is purposefully kept constant to test the relative impact of an independent variable.