Position Relative to Parent
Function
y= x+4
y= x-4
y= x-2
y=x+2
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:
What number, when added to negative five, is equal to negative four?
What number, when subtracted from negative four, is equal to negative five?
What number, when subtracted from negative five, is equal to negative four?
Answer:
First question describe the equation
Step-by-step explanation:
Given:
The given equation is.
Four questions are given.
First question.
What number, when added to negative four, is equal to negative five?
Lets we add g as a integer with negative four is equal to negative five.
Write the above statement in mathematical terms.
So first question describe the equation It is right answer
Second question.
What number, when added to negative five, is equal to negative four?
Lets we add g as a integer with negative five is equal to negative four.
Write the above statement in mathematical terms.
So Second question describe the equation
Third question.
What number, when subtracted from negative four, is equal to negative five?
Lets we subtract g as a integer with negative four is equal to negative five.
Write the above statement in mathematical terms.
So first question describe the equation
Fourth question.
What number, when subtracted from negative five, is equal to negative four?
Lets we subtract g as a integer with negative five is equal to negative four.
Write the above statement in mathematical terms.
So first question describe the equation
Therefore first question is describes the equation
Answer:
What number, when added to negative five, is equal to negative four?
Step-by-step explanation: