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7.
Write an equation for each translation of Y = |x| .

10.5 units left

A. y = | x – 10.5 |

B. y = | x | – 10.5

C. y = | x | + 10.5

D. y = | x + 10.5 |


Sagot :

Answer:

D. y = | x + 10.5 |

Step-by-step explanation:

The + inside of an absolute value equation really means -.

So there will be a horizontal shift left by 10.5 units.

Answer:

D. y = | x + 10.5 |

Step-by-step explanation:

We are given that,

The parent function is .

Now, the parent function is shifted 10.5 units to the left.

Since, shift of a function f(x) by 'k' units to the left changes the function to f(x+k).

So, the new function is given by .

Hence, option D is correct.