Find the Equation of the Tangent Line to the Graph $$f ( x ) = - 4 x ^ { 2 } + 7 x \text { at } ( 5,65 )$$

question 55

Multiple Choice

Find the equation of the tangent line to the graph of f at the given point.
- $$f ( x ) = - 4 x ^ { 2 } + 7 x \text { at } ( 5,65 )$$

• A) y = 2x - 7
• B) y = -4x + 7
• C) y = -33x + 230
• D) y = -8x + 7

---

Definitions:

Dependent Variable

A dependent variable is the outcome or response that researchers measure to determine the effect of varying the independent variable.

Correlation Coefficient

A numerical measure that quantifies the degree and direction of relationship between two variables, ranging from -1 to 1.

Independent Variable

The variable that is manipulated or changed in an experiment to test its effects on the dependent variable.

Dependent Variable

The outcome variable in an experiment or study that is expected to change in response to manipulations of the independent variable.