CK-12-Pre-Calculus Concepts

(Marvins-Underground-K-12) #1

1.2. Graphical Transformations http://www.ck12.org


7.g(x)→− 3 g(x− 2 )− 2
8.h(x)→ 5 h(x+ 1 )



  1. Describe the transformation that would changeh(x)in the following ways:

    • Vertical stretch by a factor of 2

    • Vertical shift up 3 units.

    • Horizontal shift right 2 units.



  2. Describe the transformation that would changef(x)in the following ways:

    • Vertical reflection across thexaxis.

    • Vertical shift down 1 unit.

    • Horizontal shift left 2 units.



  3. Describe the transformation that would changeg(x)in the following ways:

    • Vertical compression by a factor of 4.

    • Reflection across theyaxis.



  4. Describe the transformation that would changej(x)in the following ways:

    • Horizontal compression by a factor of 3.

    • Vertical shift up 3 units.

    • Horizontal shift right 2 units.



  5. Describe the transformation that would changek(x)in the following ways:

    • Horizontal stretch by a factor of 4.

    • Vertical shift up 3 units.

    • Horizontal shift left 1 unit.



  6. Describe the transformation that would changeh(x)in the following ways:

    • Vertical compression by a factor of 2.

    • Horizontal shift right 3 units.

    • Reflection across theyaxis.



  7. Describe the transformation that would changef(x)in the following ways:

    • Vertical stretch by a factor of 5.

    • Reflection across thexaxis.



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