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Home > PC > Chapter 1 > Lesson 1.2.1 > Problem 1-67

1-67.

Find an equation for each graph below. State the parent graph and describe the transformation.

  1. Decreasing rational function, asymptotes: y = negative 3, &, x = negative 2, left section, opens down, is below & left of asymptote intersection. Right section, opens up, is above & right of asymptote intersection.

    What is the parent graph?

    Rewrite the parent graph reflecting the horizontal shift.

    Rewrite the parent graph again to reflect the vertical shift.

  2. Downward parabola, vertex at the point (2, comma 1), with intercepts: (1, comma 0), (3, comma 0), & 0, comma negative 3).

Follow the same procedure used for (a).