Mathematics, 26.10.2020 19:50 teed0ll9
(Asked 6 times now please help someone) Can anyone help me out with this? would be greatly appreciated! on a time crunch. (all questions require a written response, there is no multiple choice.)
Functions and Transformations:
Transformations can be thought of as functions that take the points from one object (the pre-image) to the corresponding points on another object (the image). In the unit, you saw examples of how algebra can be used to rewrite the coordinates of points after they have been transformed. You can also use function notation to rewrite the coordinates. For example, these statements show several different ways you can use function notation for the translation, T, of a point 6 units in the positive x-direction:
T(x, y) = (x + 6, y)
T:(x, y) = (x + 6, y)
T (x, y) = (x + 6, y)
T6, 0(x, y) = (x + 6, y)
Part A: Write functions for each of the following transformations using function notation. Choose a different letter to represent each function. For example, you can use R to represent rotations. Assume that a positive rotation occurs in the counterclockwise direction.
translation of a units to the right and b units up
reflection across the y-axis
reflection across the x-axis
rotation of 90 degrees counterclockwise about the origin, point O
rotation of 180 degrees counterclockwise about the origin, point O
rotation of 270 degrees counterclockwise about the origin, point O
Part B: How do these functions differ from functions you have used in algebra in the past?
Part C: In the same way that other functions can be combined, a series of transformations can be combined into a single function. For example, this statement for the function S shows one way to represent the rotation of a point 270Β° counterclockwise about the origin followed by a translation 3 units to the left and 1 unit up: S(270, O)/ (x, y) = (y β 3, -x + 1).
Write a function to represent each series of transformations:
rotation of 90 degrees counterclockwise about the origin, point O, then a reflection across the x-axis
reflection across the y-axis, then a translation a units to the right and b units up
translation a units to the right and b units up, then a rotation of 180 degrees counterclockwise about the origin, then a reflection across the y-axis
Answers: 1
Mathematics, 21.06.2019 18:00
The swimming pool is open when the high temperature is higher than 20βc. lainey tried to swim on monday and thursday (which was 3 days later). the pool was open on monday, but it was closed on thursday. the high temperature was 30βc on monday, but decreased at a constant rate in the next 3 days. write an inequality to determine the rate of temperature decrease in degrees celsius per day, d, from monday to thursday.
Answers: 1
Mathematics, 22.06.2019 01:40
Afamily has two cars. the first car has a fuel efficiency of 25 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas. during one particular week, the two cars went a combined total of 1025 miles, for a total gas consumption of 55 gallons. how many gallons were consumed by each of the two cars that week?
Answers: 1
(Asked 6 times now please help someone) Can anyone help me out with this? would be greatly appreciat...
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