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Which of the following absolute value functions defines the function shown in the graph?

Which of the following absolute value functions defines the function shown in the-example-1
User Sudheer KB
by
7.5k points

1 Answer

3 votes

Answer:

Option (3)

Explanation:

Parent absolute function in the graph attached is,

g(x) = |x|

If the parent function is vertically stretched by a scale factor of k,

h(x) = k[f(x)]

In the graph attached, function 'h' will be,

h(x) = 4|x|

If a function 'h' is translated by 9 units right on the x-axis,

f(x) = h(x - 9)

Therefore, for the function given in the graph,

f(x) = 4|x - 9|

= |4x - 36|

= |-(-4x + 36)|

= |36 - 4x|

Option (3) will be the correct option.

User SriniShine
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