Answer:
The correct option is the last one.
Step-by-step explanation:
To transform the graph of into the following steps are fulfilled:
1) Move the graph 2 units to the right:
Let then Notice that the cut point has been moved to x = 2.
2) Reflect on the x axis:
To reflect a graph on the x-axis we do Then
3) Stretch according to factor 2.
For this we do
Then we have
4) Move up the graph in two units:
We do
Then
These steps coincide with those listed in the last option. Therefore the correct option is the last one.
"Translate 2 units on the right, reflect on the x-axis, stretch according to the factor 2 and translate 2 units"
Answer: False
Step-by-step explanation:
Answer:
∠ 1 and ∠2
Step-by-step explanation:
Adjacent angles share a common ray or side between them, and have the same vertex.
Therefore, the adjacent angles from the given image are: ∠ 1 and ∠2.
The other given options are not adjacent angles because they do not have the same common vertex and ray.
Answer:
Two non zero vectors, a and b are parallel when they are scalar multiples of each other such that a = c·b where c is a scalar quantity.
Therefore, in order to find a vector that is parallel to the vector, b = (-2, -1), we multiply the vector, b by a scaler quantity
Step-by-step explanation:
Given that the vector b = (-2, -1) can be written as follows;
b = -2·i - j, we have;
= √((-2)² + (-1)²) = √5
Therefore, we have;
The coordinates of the endpoint of the vector are (-2, 0) and (0, -1)
Therefore, the slope of the vector = (-1 - 0)/(0 - (-2)) = -1/2
The slope of parallel vectors are equal, which gives the slope of the parallel vector = -1/2 = (λ × (-1 - 0))/(λ ×(0 - (-2))
Therefore, a parallel vector is obtained from a vector by multiplying with a scaler product.