Absolute Value Translations | Baamboozle - Baamboozle

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Absolute Value Translations

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Graph g(x) = |x| - 5 .

See image.

10

Write the function for this graph.

g(x) = |x| + 1

10

If you moved the graph of f(x) = |x| + 3 by 5 units to the left, what would be the equation for the new function?

g(x) = |x + 5| + 3

20

Write the equation for this function.

g(x) = |x - 3| -1

20

Write the equation for this function.

g(x) = |x + 2| - 6

20

Graph g(x) = |x + 5| + 2

See image.

20

If you moved the graph of f(x) = |x| by 4 units up and 8 units to the left, what would be the new function?

g(x) = |x + 8| + 4

20

If you moved this function 3 units to the right, what would be the equation of the new function?

g(x) = |x - 6| + 1

25

If you moved this function 3 units to the right, what would be the equation of the new function?

g(x) = |x - 1| + 3

25

Graph g(x) = |x + 3| .

See image.

10

Graph g(x) = |x - 1| .

See image.

10

The vertex of this function is in which quadrant? h(x) = |x + 10| - 20

Quadrant III

20

The vertex of this function is in which quadrant? h(x) = |x - 5| - 20

Quadrant IV

20

Write the equation of an absolute value function whose vertex is (5, 3).

g(x) = |x - 5| + 3

20

Write the equation of an absolute value function whose vertex is (0, -7).

g(x) = |x| - 7

20

What is the vertex of this absolute value function?

(-2, 4)

5