Question

15.

Write an equation for each translation of y = |x|.

15.5 units left

A. y = | x | – 15.5

B. y = | x + 15.5 |

C. y = | x – 15.5 |

D. y = | x | + 15.5

Answer 1

B. y = | x + 15.5 |

Explanation:

Given : y= |x|.

To find : Write an equation for each translation of y= |x|. 15.5 units left .

Solution : We have given that y= |x|.

By the translation rule :if function transformed to f(x ) →→→ f(x +h) Then graph of the function would shift h units left.

For translation 15.5 unit left we need to add 15.5 in function y= |x|.

y = | x + 15.5 |

Therefore, y = | x + 15.5 |.

Answer 2

B. y = | x + 15.5 |

Explanation:

The + inside the absolute value equation really means -.

So there is a horizontal shift of 15.5 units left.