Suppose that g(x) = f(x) + 3. which statement best compares the graph of g(x) with the graph of f(x)?
a. the graph of g(x) is shifted 3 units to the right
b. the graph of g(x) is shifted 3 units down.
c. the graph of g(x) is shifted 3 units up.
d. the graph of g(x) is vertically stretched by a factor of 3.

C. the graph of g(x) is shifted 3 units up.

Step-by-step explanation:

The statement that compares the graph of g(x) with the graph of f(x) is that the graph of g(x) is shifted 3 units up.

If we have the equation:

G(x) = F(x) + 3

Then, the graph of G(x) will be composed of points 3 units above the graph of F(x).

Conversely, the difference between F(x) and G(x) at any particular value of x will always be 3.

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

l.jnl.j/n.m,lm,

step-by-step explanation: