Answer:
It is a vertical translation of f(x) four units downward.
Step-by-step explanation:
We are given the original equation f(x) = |x| and the transformed function is g(x) = |x| - 4.
It is clear that the transformed function that g(x) = f(x) - 4.
So, the y-value in g(x) is reduced by 4 units from the y-value of f(x) i.e. the transformation is by 4 units down of function f(x).
Therefore, it is a vertical translation of f(x) four units downward. (Answer)
Answer:
A
Step-by-step explanation:
X=5 and 3
Answer:
The length of AC = 4 and the length of A'C' = 1 so the scale factor is 1/4.
The answer is D.
This figure has 4 sides which makes it a quadrilateral.
This figure has 2 sets of parallel sides which makes it a parallelogram.
This figure has 4 equal sides which makes it a rhombus.
This figure has 4 right angles which makes it a rectangle.
And this figure has both 4 equal sides and 4 equal angles which makes it a square.
To make it easier, all squares are: quadrilaterals, parallelograms, rhombuses, rectangles and of course squares.
Answer:
0.5<2-√2<0.6
Step-by-step explanation:
The original inequality states that 1.4<√2<1.5
For the second inequality, you can think of 2-√2 as 2+(-√2).
Because of the "properties of inequalities", we know that when a positive inequality is being turned into a negative, the numbers need to swap and become negative. So, the original inequality becomes -1.5<-√2<-1.4. (Notice how the √2 becomes negative, too). This makes sense because -1.5 is less than -1.4.
Using our new inequality, we can solve the problem. Instead of 2+(-√2), we are going to switch "-√2" with both possibilities of -1.5 and -1.6. For -1.5, we would get 2+(-1.5), or 0.5. For -1.4, we would get 2+(-1.4), or 0.6.
Now, we insert the new numbers into the equation _<2-√2<_. The 0.5 would take the original equation's "1.4" place, and 0.6 would take 1.5's. In the end, you'd get 0.5<2-√2<0.6. All possible values of 2-√2 would be between 0.5 and 0.6.
Hope this helped!
