Answer:
Og(x) is shifted 4 units left and 6 units down from f(x).
Step-by-step explanation:
To understand how the parent function is transformed, you have to look at a few things.
Firstly, is there a negative sign in front? If there is, then the function is flipped around the y-axis
Second, on the part where the x is included (in this case it is x+4) you have to see if there is a negative sign in front of this. If this is the case, then the formula is flipped around the x-axis
<em>Third, If the part with the x is being added to, then the graph is being translated to the left that many units. If it is being subtracted from, then it is being translated to the right that many units (in this case it is </em><u><em>x+4</em></u><em>, so we move to the left 4 units) ((it is the opposite of what would be common sense, I know))</em>
<em>Lastly, if the whole thing is being added to, move up that many units. If it is subtracted from, move down that many units (in this case it is 1/x+4 </em><u><em>- 6)</em></u><em> (( this one does follow common sense))</em>
There are other factors, such as leading coefficients (on just the x part or the whole thing) and other stuff I'm sure I don't remember )
For more information: https://mathhints.com/parent-graphs-and-transformations/
Answer:
A = 81 m²
Step-by-step explanation:
The formula for area of the parallelogram is
A = LH where L is the length of the base, and H is the height
L is given as 9, and H is given as 5, so
A = (9)(5) = 45 m²
The are of the triangle is
A = (1/2)bh where b is the base and h is the height
b is given as 9. Its's 9 because that side of the parallelogram is parallel to the base of the parallelogram and is also equal in measure. The height of the triangle is give as 8, so the area is..
A = (1/2)(9)(8)
A = 36 m²
The total area is
45 m² + 36 m² = 81 m²
Answer:
A landform is a feature on the Earth's surface that is part of the terrain. Mountains, hills, plateaus, and plains are the four major types of landforms. Minor landforms include buttes, canyons, valleys, and basins. Tectonic plate movement under the Earth can create landforms by pushing up mountains and hills.
Answer:
1 litre
Step-by-step explanation:
When Joel left the house, his bottle was full. He drank 5/8 of a litre, leaving 3/8 of a litre. Add the two numbers together to find the total.
5/8 + 3/8 = 8/8 = 1
