We want to describe each one of the given functions as translations of a parent function.
The descriptions are:
1) This is a translation of 4 units to the left.
2) This is a translation of 4 units to the right.
3) This is a vertical translation of 2 units down.
4) This is a vertical translation of 2 units up.
First, we need to describe translations.
Horizontal translation.
For a given function f(x) a horizontal translation of N units is written as:
g(x) = f(x + N)
Where if N is positive the translation is to the left, if N is negative the translation is to the right.
Vertical translation.
For a given function f(x) a vertical translation is written as:
g(x) = f(x) + N
Where if N is positive the translation is upwards, and if N is negative the translation is downwards.
Now we have the parent function:
f(x) = √x
Then each one of the transformations can be described by knowing how the translations work:
1) y = √(x + 4) = f(x + 4)
This is a translation of 4 units to the left.
2) y = √(x - 4) = f(x - 4)
This is a translation of 4 units to the right.
3) y = √x - 2 = f(x) - 2
This is a vertical translation of 2 units down.
4) y =√x + 2 = f(x) + 2
This is a vertical translation of 2 units up.
If you want to learn more, you can read:
Answer:
left of the parent
right of the parent
below the parent
above the parent
right and above the parent
left and below the parent
Step-by-step explanation:
Missed golf shots Points
0
400
1
350
2
300
6
????
Answer:
100
Step-by-step explanation:
If
0 = 400
1 = 350
2 = 300
Then,
3 = 250
4 = 200
5 = 150
Therefore, 6 will be 100
has an inner diameter of
2.7 cm and an outer
diameter of 3.6 cm. If the
density of stainless-steel
is 8 g/cm3, what is the
mass of the fitting?
Subtract the volume of the inside diameter from the volume of the outside diameter and then multiply that by the density.
Volume of outside:
PI x 1.8^2 x 3.9 = 39.67704 cubic cm
Volume of inside:
PI x 1.35^2 x 3.9 = 22.318335 cubic cm
Difference: 39.67704 - 22.318335 = 17.358705 cubic cm.
Mass = 17.358705 x 8 = 138.86964 grams. Round the answer as needed.
B. 63 - 3y + 6
C. 63+ (6 x 3y)
D. 6 X (63 - 3y)
o
The expression has a value that is 6 times the value of the expression 63 – 3y would be, 6 × (63 - 3y)
The correct answer is option (D)
"An expression is a sentence with a minimum of two numbers and at least one mathematical operation in it."
For given example,
We need to find the value that is 6 times the expression 63 – 3y.
If we write it as an expression then it would be,
6 × (63 - 3y)
Therefore, the correct answer is option (D)
Learn more about expression here:
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feet of fencing to build a rectangular garden. The function ()=24−2
A
(
w
)
=
24
w
-
w
2
can be used to find the area of the garden for a given width,
w
.
Does the function model the situation over the interval 12<<24
12
<
w
<
24
?
Answer:
Step-by-step explanation:
(118)=24-2
B. Should your answer be more than 228 or less? Explain.
The airline should sell 217 tickets to have a 95% probability that all seats will be filled.
To determine how many tickets the airline should sell, we need to find the number of tickets that corresponds to a 95% probability of a person actually going on the flight. We can think of this as finding the number of tickets that gives us a 95% confidence level.
We can use the formula for confidence interval to find the number of tickets:
Number of tickets = (Desired confidence level) × (Total number of seats)
Number of tickets = 0.95 × 228 = 216.6
Since we can't sell a fraction of a ticket, the airline should sell 217 tickets to have a 95% probability that all seats will be filled.
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