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Translations of Quadratic Functions

Authored by E Varney

Mathematics

9th - 12th Grade

Used 10+ times

Translations of Quadratic Functions
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10 questions

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1.

MULTIPLE SELECT QUESTION

5 mins • 1 pt

Media Image

Describe the translations necessary to transform the graph of f(x) into that of g(x).

Translate up 2 units

Translate right 2 units

Translate down 2 units

Translate left 2 units

Answer explanation

Media Image

Vertex of f(x): (0, 0)

Vertex of g(x): (0, -2)

From (0, 0) to (0, -2), we must translate/shift/move down two units.

2.

MULTIPLE SELECT QUESTION

5 mins • 1 pt

Media Image

Describe the translations necessary to transform the graph of f(x) into that of g(x).

Translate up 4 units

Translate right 4 units

Translate down 4 units

Translate left 4 units

Translate down 5 units

Answer explanation

Media Image

Vertex of f(x): (4, - 5)

Vertex of g(x): (0, - 1)

From (4, - 5) to (0, - 1), we must translate/shift/move left four AND up 4 units.

3.

MULTIPLE SELECT QUESTION

5 mins • 1 pt

Media Image

Describe the translations necessary to transform the graph of f(x) into that of g(x).

Translate up 4 units

Translate right 4 units

Translate down 6 units

Translate left 4 units

Translate left 5 units

Answer explanation

Media Image

Vertex of f(x): (- 1, 4)

Vertex of g(x): (- 5, - 2)

From (- 1, 4) to (- 5, - 2), we must translate/shift/move left four AND down 6 units.

4.

MULTIPLE SELECT QUESTION

5 mins • 1 pt

Media Image

Describe the translations necessary to transform the graph of f(x) into that of g(x).

Translate up 2 units

Translate right 2 units

Translate down 2 units

Translate left 2 units

Answer explanation

Media Image

Vertex of f(x): (0, 0)

Vertex of g(x): (- 2, - 2)

From (0, 0) to (-2, -2), we must translate/shift/move left 2 AND down 2 units.

5.

MULTIPLE SELECT QUESTION

5 mins • 1 pt

Media Image

Describe the translations necessary to transform the graph of f(x) into that of g(x).

Translate up 4 units

Translate right 3 units

Translate down 4 units

Translate left 3 units

Translate left 4 units

Answer explanation

Media Image

Vertex of f(x): (0, 0)

Vertex of g(x): (-3, -4)

From (0, 0) to (-3, -4), we must translate/shift/move left 3 AND down 4 units.

6.

MULTIPLE SELECT QUESTION

5 mins • 1 pt

Media Image

Describe the translations necessary to transform the graph of f(x) into that of g(x).

Translate up 5 units

Translate right 1 unit

Translate down 4 units

Translate right 2 units

Translate right 3 units

Answer explanation

Media Image

Vertex of f(x): (2, -4)

Vertex of g(x): (3, 1)

From (2, -4) to (3, 1), we must translate/shift/move right 1 AND up 5 units.

7.

MULTIPLE SELECT QUESTION

5 mins • 1 pt

Media Image

Describe the translations necessary to transform the graph of f(x) into that of g(x).

Translate up 1 unit

Translate right 1 unit

Translate down 1 unit

Translate left 1 unit

Answer explanation

Media Image

Vertex of f(x): (0, 0)

Vertex of g(x): (1, 0)

From (0, 0) to (1, 0), we must translate/shift/move right 1 unit.

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