Bella wants to write two equations to model the streets on this map. she can use y = x - 4 to describe platte way. find one absolute value equation to describe marteen rd and smith st. a) y = | x - 2 | - 3 b) y = | x + 2 | - 3 c) y = | x + 3 | - 2 d) y = | x - 3 | - 2

General Idea:

The parent function of absolute value equation is given by .

If the parent function undergo the below transformation:

(i) horizontal translation of moving left by ' c ' units, and

(ii) a vertical translation of moving down by ' d' units,

then the transformed function will be given by below equation

Applying the Concept:

The map which describe Marteen Rd and Smith St. is transformation of parent graph.

If we move the parent absolute value graph down 3 units and left 2, we will get the map which describe Marteen Rd and Smith St.

Conclusion:

One absolute value equation to describe Marteen Rd and Smith St. in the given map is option B) y = | x + 2 | - 3

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step-by-step explanation: