Knowee
Questions
Features
Study Tools

Which function represents a horizontal translation of 77 units left and a vertical translation of 66 units down from the graph of ๐‘“(๐‘ฅ)=|๐‘ฅ|๐‘“(๐‘ฅ)=|๐‘ฅ|?Question 9Select one:a.๐‘”(๐‘ฅ)=|๐‘ฅโˆ’7|โˆ’6๐‘”(๐‘ฅ)=|๐‘ฅโˆ’7|โˆ’6b.๐‘”(๐‘ฅ)=|๐‘ฅ+7|โˆ’6๐‘”(๐‘ฅ)=|๐‘ฅ+7|โˆ’6c.๐‘”(๐‘ฅ)=|๐‘ฅโˆ’7|+6๐‘”(๐‘ฅ)=|๐‘ฅโˆ’7|+6d.๐‘”(๐‘ฅ)=|๐‘ฅ+7|+6๐‘”(๐‘ฅ)=|๐‘ฅ+7|+6e.๐‘”(๐‘ฅ)=|๐‘ฅ+6|+7๐‘”(๐‘ฅ)=|๐‘ฅ+6|+7f.๐‘”(๐‘ฅ)=|๐‘ฅโˆ’6|โˆ’7๐‘”(๐‘ฅ)=|๐‘ฅโˆ’6|โˆ’7

Question

Which function represents a horizontal translation of 77 units left and a vertical translation of 66 units down from the graph of ๐‘“(๐‘ฅ)=|๐‘ฅ|๐‘“(๐‘ฅ)=|๐‘ฅ|?Question 9Select one:a.๐‘”(๐‘ฅ)=|๐‘ฅโˆ’7|โˆ’6๐‘”(๐‘ฅ)=|๐‘ฅโˆ’7|โˆ’6b.๐‘”(๐‘ฅ)=|๐‘ฅ+7|โˆ’6๐‘”(๐‘ฅ)=|๐‘ฅ+7|โˆ’6c.๐‘”(๐‘ฅ)=|๐‘ฅโˆ’7|+6๐‘”(๐‘ฅ)=|๐‘ฅโˆ’7|+6d.๐‘”(๐‘ฅ)=|๐‘ฅ+7|+6๐‘”(๐‘ฅ)=|๐‘ฅ+7|+6e.๐‘”(๐‘ฅ)=|๐‘ฅ+6|+7๐‘”(๐‘ฅ)=|๐‘ฅ+6|+7f.๐‘”(๐‘ฅ)=|๐‘ฅโˆ’6|โˆ’7๐‘”(๐‘ฅ)=|๐‘ฅโˆ’6|โˆ’7

๐Ÿง Not the exact question you are looking for?Go ask a question

Solution

The correct answer is b. ๐‘”(๐‘ฅ)=|๐‘ฅ+77|โˆ’66.

Here's why:

  1. A horizontal translation of 77 units to the left is represented by adding 77 to x in the absolute value function. This is because moving to the left on the x-axis corresponds to decreasing the x-value, so we add 77 to counteract this decrease.

  2. A vertical translation of 66 units down is represented by subtracting 66 from the entire function. This is because moving down on the y-axis corresponds to decreasing the y-value.

So, combining these two transformations, we get the function ๐‘”(๐‘ฅ)=|๐‘ฅ+77|โˆ’66.

This problem has been solved

Similar Questions

Compare the graph of the function ๐‘”(๐‘ฅ)=|๐‘ฅโˆ’1|+5๐‘”(๐‘ฅ)=|๐‘ฅโˆ’1|+5 to the graph of its parent function, ๐‘“(๐‘ฅ)=|๐‘ฅ|๐‘“(๐‘ฅ)=|๐‘ฅ|.Select all statements that apply to the transformation of ๐‘“(๐‘ฅ)๐‘“(๐‘ฅ) to ๐‘”(๐‘ฅ)๐‘”(๐‘ฅ).Question 8Select one or more:a.Vertical translation, down 55 unitsb.Vertical translation, up 55 unitsc.Vertical translation, down 11 unitd.Vertical translation, up 11 unite.Horizontal translation, left 55 unitsf.Horizontal translation, right 55 unitsg.Horizontal translation, left 11 unith.Horizontal translation, right 11 unit

Start with the graph of ๐‘“โก(๐‘ฅ)=4๐‘ฅ. Then write a function that results from the given transformation.Shift ๐‘“โก(๐‘ฅ) 7 units left

Fill in the blanks to complete the statement:Compared to the graph of the parent function, ๐‘“(๐‘ฅ)=|๐‘ฅ|๐‘“(๐‘ฅ)=|๐‘ฅ|, the graph of ๐‘”(๐‘ฅ)=๐‘Ž|๐‘ฅ|๐‘”(๐‘ฅ)=๐‘Ž|๐‘ฅ|, where ๐‘Ž>1๐‘Ž>1, results in a vertical Answer 1 Question 11, making ๐‘”(๐‘ฅ)๐‘”(๐‘ฅ) Answer 2 Question 11 than the graph of ๐‘“(๐‘ฅ)๐‘“(๐‘ฅ).

Refer to the below figure, which of the following functions is graphed ? (unit length = 1 unit)A y = |x + 7| + 2 B y = |x โ€“ 7| +2 C y = |x โ€“ 7| โ€“ 2 D yย = |x + 7| โ€“ 2

Write the equation of the following graph in the form ๐‘“(๐‘ฅ)=|๐‘ฅโˆ’โ„Ž|+๐‘˜๐‘“(๐‘ฅ)=|๐‘ฅโˆ’โ„Ž|+๐‘˜.Question 12Answera.๐‘“(๐‘ฅ)=|๐‘ฅ+3|โˆ’1๐‘“(๐‘ฅ)=|๐‘ฅ+3|โˆ’1b.๐‘“(๐‘ฅ)=|๐‘ฅโˆ’3|โˆ’1๐‘“(๐‘ฅ)=|๐‘ฅโˆ’3|โˆ’1c.๐‘“(๐‘ฅ)=|๐‘ฅ+3|+1๐‘“(๐‘ฅ)=|๐‘ฅ+3|+1d.๐‘“(๐‘ฅ)=|๐‘ฅโˆ’3|+1

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.