Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x – 2)2 + 3? right 2, up 3 left 2, down 3 right 2, down 3 left 2, up 3

f(x) shift right 2 and up 3 to get g(x)

A is correct.

Step-by-step explanation:

Given: and

We need to find transformation that occurs from f(x) to g(x).

Parent function is quadratic equation.

Concept of transformation:-

For horizontal shift:

If x changes to x+a then left or right shift.

a>0 then shift left

a<0 then shift right

For vertical shift:

If y changes to y+a then up or down shift

If b>0 then shift up by a unit

If b<0 then shift down by a unit.

Thus, f(x) shift 2 unit right.

Thus, f(x) shift 3 unit up.

Hence, f(x) shift right 2 and up 3 to get g(x)

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.