The function f(x) = |x| shift horizontally to the right by 5 units with a stretch of 3 units. The resulting function will be f(x) = 3|x - 5|
<h3>Transformation of functions</h3>
Transformation is a technique used to change the position of an object on an x-plane.
The parent function of the shown graph is f(x) = |x|
The attached graph shows that the function f(x) = |x| shift horizontally to the right by 5 units with a stretch of 3 units. The resulting function will be f(x) = 3|x - 5|
Learn more on transformation here: brainly.com/question/4289712
Area of a rectangle can be found with the formula:
Area = length × width
If Sarah knows the length, she should know the width in order to find out the area of the rectangle.
Answer: width
Answer:
d
Step-by-step explanation:
The denominator of f(x) cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.
x + 3 = 0 ⇒ x = - 3 ← equation of vertical asymptote
We have been given an equation of circle
. We are asked to find the center and radius of the circle.
First of all, we will write equation of circle is standard form
, where center of circle is at point (h,k) and radius is r.
Let us complete the square for both x and y.


Adding half the square of coefficient of x and y term, we will get:





Therefore, the center of the circle is
and radius is 4 units.