Questions: Hexagon EFGHIJ can be mapped to hexagon E' F' G' H' I' J' by a translation 7 units to the left followed by a reflection. Write the functions that describe the translation and reflection. Translation: (x, y) -> ( , ) Reflection: (x, y) -> ( , )

Hexagon EFGHIJ can be mapped to hexagon E' F' G' H' I' J' by a translation 7 units to the left followed by a reflection. Write the functions that describe the translation and reflection. Translation: (x, y) -> ( , ) Reflection: (x, y) -> ( , )
Transcript text: Hexagon EFGHIJ can be mapped to hexagon $E^{\prime} F^{\prime} G^{\prime} H^{\prime} I^{\prime} J^{\prime}$ by a translation 7 units to the left followed by a reflection. Write the functions that describe the translation and reflection. \[ \begin{array}{l} \text { Translation: }(x, y) \mapsto(\square, \square) \\ \text { Reflection: }(x, y) \mapsto(\square, \square) \end{array} \]
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the Translation

The problem states that hexagon EFGHIJ can be mapped to hexagon E'F'G'H'I'J' by a translation 7 units to the left. This means we need to subtract 7 from the x-coordinates of each point.

Step 2: Write the Translation Function

The translation function can be written as: \[ (x, y) \rightarrow (x - 7, y) \]

Step 3: Identify the Reflection

After translating the hexagon, the next step is to reflect it. By observing the graph, it appears that the reflection is over the y-axis. This means we need to change the sign of the x-coordinates.

Step 4: Write the Reflection Function

The reflection function can be written as: \[ (x, y) \rightarrow (-x, y) \]

Final Answer

  • Translation Function: \[ (x, y) \rightarrow (x - 7, y) \]
  • Reflection Function: \[ (x, y) \rightarrow (-x, y) \]
Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Which of the following calculations is NOT derived from the confidence interval? Choose the correct answer below. A. The point estimate of μ, x̄ = (upper confidence limit + lower confidence limit) / 2 B. The population mean, μ = (upper confidence limit) + (lower confidence limit) C. Difference between the limits, 2E = (upper confidence limit) - (lower confidence limit) D. The margin of error, E = (upper confidence limit - lower confidence limit) / 2
failedAnswered
Which is NOT an example of homeostasis? Increased estrogen during the menstrual cycle increases the number of progesterone receptors in the uterus. Increased blood pressure in the aorta stimulates mechanisms to lower blood pressure. Increased blood sugar stimulates the release of a hormone from the pancreas that stimulates the liver to store blood sugar. Decreased body temperature stimulates a neural response that increases body temperature. Increased blood calcium levels stimulates the release of a hormone that lowers blood calcium levels.
failedAnswered
∫ 1/√(2x) dx
failedAnswered
Question 26 of 30 Other than a no solution set, use interval notation to express the solution set and then graph the solution set on a number line -3x >= 9 Select the correct choice below and, if necessary, fill in the answer box to complete your choice A. The solution set is (Type your answer using interval notation.) B. The solution set is Choose the correct graph of the inequality A. B. C. D. The solution set is ∅
failedAnswered
Multiple-choice questions each have five possible answers (a, b, c, d, e), one of which is correct. Assume that you guess the answers to three such questions. a. Use the multiplication rule to find P(WWC), where C denotes a correct answer and W denotes a wrong answer. P(W W C)= (Type an exact answer.)