Determine the Two Equations Necessary to Graph the Horizontal Parabola $$x = 8 y ^ { 2 } - 5 y + 7$$

question 54

Multiple Choice

Determine the two equations necessary to graph the horizontal parabola using a graphing calculator.
- $$x = 8 y ^ { 2 } - 5 y + 7$$

• A) \(\mathrm { y } = \frac { 5 - \sqrt { 32 \mathrm { x } - 199 } } { 16 }\) and \(\mathrm { y } = \frac { 5 + \sqrt { 32 \mathrm { x } - 199 } } { 16 }\)
• B) \(y = \sqrt { \frac { x - 7 } { - 5 } }\) and \(y = - \sqrt { \frac { x - 7 } { - 5 } }\)
• C) \(\mathrm { y } = \frac { 5 - \sqrt { 32 \mathrm { x } - 199 } } { 8 }\) and \(\mathrm { y } = - \frac { 5 + \sqrt { 32 \mathrm { x } - 199 } } { 8 }\)
• D) \(y = \frac { \sqrt { x - 7 } } { - 5 }\) and \(y = - \frac { \sqrt { x - 7 } } { - 5 }\)

---

Definitions:

Progressive Era

A period in the late 19th and early 20th centuries in the United States during which widespread social, political, and economic reforms were enacted in response to the problems arising from industrialization, urbanization, and corruption.

Political Freedoms

Refers to the rights of individuals in a society to express their political views, engage in political activity, and participate in the governance of their country without undue interference.

Economic Freedoms

The fundamental rights of individuals to control their own labor and property, including the freedom to work, produce, consume, and invest in any way they please, with minimal government intervention.

Muckrakers

Journalists and writers of the late 19th and early 20th centuries who exposed and criticized social injustices, corruption, and abuses of power, aiming to spur reform.