College Algebra CLEP Prep Practice Exam

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What is the graph of the equation x^2 = 25?

  1. Parabola

  2. Line

  3. Hyperbola

  4. Circle

The correct answer is: Circle

This is because x^2 = 25 can be written as (x-0)^2 + (y-0)^2 = 25, which is the equation of a circle with center at (0,0) and a radius of 5. The other options, parabola, line, and hyperbola, do not fit this equation and are therefore incorrect. Remember, a parabola is characterized by the equation y = ax^2 + bx + c, a line has a linear equation y = mx + b, and a hyperbola has the form x^2/a^2 - y^2/b^2 = 1. Only the equation for a circle, (x-h)^2 + (y-k)^2 = r^2, satisfies the equation x^2 = 25. Therefore, the correct graph for x^2 = 25

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