25, 50, 75, 100. Think of it like quarters.
For this case , the parent function is given by [tex f (x) =x^2
[\tex]
We apply the following transformations
Vertical translations :
Suppose that k > 0
To graph y=f(x)+k, move the graph of k units upwards
For k=9
We have
[tex]h(x)=x^2+9
[\tex]
Horizontal translation
Suppose that h>0
To graph y=f(x-h) , move the graph of h units to the right
For h=4 we have :
[tex ] g (x) =(x-4) ^ 2+9
[\tex]
Answer :
The function g(x) is given by
G(x) =(x-4)2 +9
The <u>correct scale</u> is 1 in = 4 mi.
<u>Explanation</u>:
The scale tells us what a given measurement on the map equals in real-life distance.
The measurement on the map that we have is 2 inches, and it equals 8 miles:
2 in = 8 mi
This can also be written as 2/8. This fraction can be simplified, since both 2 and 8 are divisible by 2; it will simplify to 1/4. This is the same as
1 in = 4 mi.
1) The given equation is 3x-3y=15
To solve for y we subtract 3x both sides:
3x-3x-3y=-3x+15
-3y=-3x+15
With y term -3 is multiplied .We perform the opposite operation both sides that is divide by -3 both sides we have:
y=x-5
Option A :y=x-5 is the right answer.
2) |2x-1|=3
We can remove the absolute sign by forming equations taking both the positive and negative signs:
2x-1=3 or 2x-1=-3
Solving the two equations for x:
2x=3+1 or 2x=-3+1
2x=4 ,x=2. 2x=-2 , x=-1 .
Option a)x=2 or x=-1 is the right answer.
3) 2< 3x-1 ≤ 5
Adding 1 to all the sides we have:
3<3x≤ 6
Dividing by 3 :
1<x≤ 2.
Answer:
use y2-y1 over x2-x1
Step-by-step explanation: