Given the function, ƒ(x) = |x - 1| - 2, choose the correct transformation.
Answers
Answer:
The transformation applied is 'Translation of 1 unit to the right and 2 units downwards'.
Step-by-step explanation:
We know that,
The parent function is .
Now, g(x) is transformed to the function .
That is, we see that,
g(x) is translated 1 unit to the right, which gives and then it is translated 2 unit downwards, which gives f(x).
So, we get,
The transformation applied is 'Translation of 1 unit to the right and 2 units downwards'.
Final answer:
The function ƒ(x) = |x - 1| - 2 has two transformations. It has a horizontal shift to the right by 1 unit and a vertical shift down by 2 units.
Explanation:
The function ƒ(x) = |x - 1| - 2 is a transformation of the basic absolute value function which is |x|. This function is undergoing a shift. Specifically, it is encountering two types of transformation. The |x - 1| part implies the graph of the function is shifted to the right by 1 unit. And the -2 at the end of the function suggests that the graph is shifted downwards by 2 units. Thus, the function ƒ(x) = |x - 1| - 2 illustrates a horizontal shift to the right by 1 unit and a vertical shift downwards by 2 units.
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Evaluate log (base 9) 27. Can someone explain this one for me so i could do some tasks on my own?
Answers
a + b = b + a
So, how would it be helpful with this given equation?
=> 48 + 82
=> Let's start with the ones place value.
(2 + 8) = 10, bring down 0, carry 1 then ( 4 + 8) = 12 + 1 = 13
So the answer is 130.
If we are going to do it vice versa, still expect that the same answer will occur.
True
False
Answers
True
Answers
∠ = 31° + (3 + 2)° + (7 - 1)°
∠ = 31° + 5° + 6°
∠ = 42°
So, ∠ is equal to 42°. None of the provided response options match this value.
Answers
Answer:
10%
Step-by-step explanation:
We know Perimeter of rectangle
= 2 (Length + Width)
If width and length are increased by 10%
New length= L + 10/100L = (1.1) L
New width = W + 10/100W = (1.1) W
Perimeter = 2 [(1.1) L + (1.1) W]
Perimeter = 2 (1.1) (L + W)
Perimeter = (2.2) (L + W)
Increase in perimeter = 2.2 (L + W) - 2 (L + W)
The increase in Perimeter = 0.2 (L + W)
Percent increase
= 0.2 (L + W)/2 (L + W) × 100
= 0.2/2 × 100
= 0.1 × 100
= 10%
I hope this helped and if it did, please mark as Brainliest.
Final answer:
When the length and width of a rectangle are increased by 10%, the area increases by 21% and the perimeter increases by 10%.
Explanation:
The area of a rectangle is calculated by the formula Length × Width. If both the length and width are increased by 10%, the new area would be 1.1(length) × 1.1(width), which is 1.21(length × width) or 121% of the original area. So the area increases by 21%. The perimeter of a rectangle is calculated by the formula 2(Length + Width). If both the length and width increase by 10%, the new perimeter would be 2(1.1 Length + 1.1 Width) = 2.2 Length + 2.2 Width, which is 110% or 1.1 times the original perimeter. So the perimeter increases by 10% when you increase the length and width by 10%.
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Answers
Answers
5x^2 - ((2x - 3)(2x - 3)) =
5x^2 - (4x^2 - 6x - 6x + 9) =
5x^2 - (4x^2 - 12x + 9) =
5x^2 - 4x^2 + 12x - 9 =
x^2 + 12x - 9 <===
(2x-3)(2x-3)=(2x-3)(2x)+(2x-3)(-3)=4x²-6x-6x+9=4x²-12x+9
so
5x²-(4x²-12x+9)=5x²-4x²+12x-9=x²+12x-9