What steps are needed to apply another point on this graph of equivalent ratios

OPTION B

Step-by-step explanation:

Note that the graph represents the function f(x) = 2x.

Because the points are: .

So, to mark the next point, take any two points on the graph, say .

From (1, 2) to reach (2, 4) it has shifted one place  right. Because the x - co ordinate has increased by 1.

And then moved by 2 units because the y co ordinate increases by 2 for every one unit increase in x - co ordinate.

So, the steps would be as follows:

1. Start at any point.

2. Move up one space

3. Move right two spaces.

Hence, Option B is the answer.

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

1^3 + 2^3 + 3^3 +4^3 = (1+2+3+4)^2

step-by-step explanation:

i am only able to answer the first part. i am not sure about the second part. sorry