(1) Vertical asymptote:
(2) Domain:
(3) X intercept: and Y intercept :
(4) The function g(x) is shifted 4 units to the left and shifted 1 unit down.
Explanation:
The parent function is
The transformed function is
(1) Vertical asymptote:
The vertical asymptote of a function can be determined by equating
Thus,
The vertical asymptote is
(2) Domain:
The domain of a function is the set of all independent x-values.
Thus,
The domain of a function is
(3) X and Y intercepts:
To determine the x intercept, let us substitute y=0 in
Thus, the x intercept is
To determine the y intercept, let us substitute x=0 in
Thus, the y intercept is
(4) To determine the transformation:
The transformed function is shifted 4 units to the left and shifted 1 unit downwards.
The answer for this is (2,3)
<em>So</em><em> </em><em>the</em><em> </em><em>right</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>4</em><em>2</em><em>.</em><em>5</em>
<em>look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em>
<em>Hope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>you</em>
<em>Good</em><em> </em><em>luck</em><em> </em><em>on</em><em> </em><em>your</em><em> </em><em>assignment</em>
Answer:
5, 10, 15, 20, 25, 30,...
Step-by-step explanation: