Answer:
y=2/3x-4
Step-by-step explanation:
1. find the greatest common factors of the numerator & denominator
2. regroup the factors to make fractions equivalent to 1
3. multiply the remaining factors
<h3>
Short Answer: Yes, the horizontal shift is represented by the vertical asymptote</h3>
A bit of further explanation:
The parent function is y = 1/x which is a hyperbola that has a vertical asymptote overlapping the y axis perfectly. Its vertical asymptote is x = 0 as we cannot divide by zero. If x = 0 then 1/0 is undefined.
Shifting the function h units to the right (h is some positive number), then we end up with 1/(x-h) and we see that x = h leads to the denominator being zero. So the vertical asymptote is x = h
For example, if we shifted the parent function 2 units to the right then we have 1/x turn into 1/(x-2). The vertical asymptote goes from x = 0 to x = 2. This shows how the vertical asymptote is very closely related to the horizontal shifting.
Answer:
Step-by-step explanation:
y=a(x-h)^2+k
-12=a(1-h)^2+k
16=a(3-h)^2+k
subtract
a(3-h)^2-a(1-h)^2=28
a[(3-h)^2-(1-h)^2]=28
a=2
2[(3-h)^2-(1-h)^2]=28
(3-h)^2-(1-h)^2=14
9+h^2-6h-(1+h^2-2h)=14
9+h^2-6h-1-h^2+2h=14
-4h+8=14
-4h=6
h=-3/2
16=2(3+3/2)^2+k
16=2×81/4+k
k=16-81/2=-49/2
so y=2(x+3/2)²-49/2
Answer:
Game World-four for 68-------------------> 68/4= $17 per game
Best Bargains: six for 99--------------------> 99/6= $16.5 per game
Ans) B.B has the better deal as you can buy a more amount of games in lesser money in comparison to Game World, where you have to spend aprroximately $3 more.
