Answer:
1) 3
2) B
3) B
4) x=-1
Step-by-step explanation:
1) The graph of
is replaced by the graph of
If g(x) is obtained by shifting f(x) down by 3 units, the value of k is 3.
2) Consider the function
Note that
Then

3) The y-intercept of f(x) is point (0,-6), because
The y-intercept of g(x) is point (0,-3). Then the y-intercept of f(x) is equal to 2 times the y-intercept of g(x).
4) From the first equation
Substitute it into the second equation:

Then 
Answer:
13 sq cm.
Step-by-step explanation:
To find the area of this irregular figure, we will need to find the areas of a rectangle and triangle within this figure.
To find the area of the rectangle, we can simply do:
1 × 4= 4 sq cm.
Now, this is where it gets a little trickier. To find the area of the triangle, we will first need to determine the base and height.
We can see from the diagram that to find the base, we need to subtract:
7-4= 3 cm. This is the base of ONLY the triangle.
To find the height, we will need to do:
5+1= 6 cm. This is the total height of the entirety of the triangle.
We can now use the Triangle Area formula:
(bh), to calculate the area of the triangle.
(6*3)= 9 sq cm.
Finally, add the areas of the rectangle and triangle together, giving you:
9+4= 13 sq cm.
Answer:
should be y=-2/1x+2
Step-by-step explanation:
because the slope is going down 2 over 1 and the y-intercept is at positive 2
Take the minise out the ecation so we can