Parent function Y equals 0.5 square root X is.. -increasing -decreasing -constant
1 answer:
Using translation concepts, it is found that:
- The parent function y =
is decreasing across it's domain because it's base, b, is such that 0 < |b| < 1.
- The function f shifts the parent function 8 units up.
- The function f shifts the parent function 5 units right.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The parent function is:
It has a base with absolute value between 0 and 1, hence it is decreasing.
The changes to the function are given as follows:
- y -> y + 8, hence the function was shifted 8 units up.
- x -> x - 5, hence the function was shifted 5 units right.
More can be learned about translation concepts at brainly.com/question/4521517
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The coordinate pair (-4,5) could be the fourth vertex of the square.
<h3>Quadrilaterals</h3>There are different types of quadrilaterals, for example: square, rectangle, rhombus and trapezoid. Each type is defined accordingly to its length of sides and angles. For example, the square has all side equals and angles equal to 90°.
For solving this question, you should plot the given points as shown in attached image. Note that you have only two sides of a square, and you need a point (W) for completing the square.
As you have a square, all sides should have the same dimensions and all angles should equal to 90°. Therefore, the coordinates for the point W should result in equal and parallel sides XY and XZ. For this, from the attached image, you can see that the x-coordinate for the point W should be equal to the x-coordinate for the point Z. And, the y-coordinate for the point W should be equal to the y-coordinate for the point Y.
Thus, coordinate pair (-4,5) would be the fourth vertex of the square.
Read more about the quadrilaterals here:
