Question

A linear function is transformed from D = 100p + 3000 to D = 100p + 4500. What is the corresponding vertical change?A)The graph is shifted up 1500 units.B)The graph is shifted up 100 units.C)The graph is shifted up 3000 units.D)The graph is shifted up 4500 units

Answer 1

To change a function vertically we need to add a constant number to its expression. In this problem we have the original expression and the transformed one. To find how much it changed we can subtract the two expressions and the result will be the vertical shift. We have:

`\begin{gathered} (100p+4500)-(100p+3000) \\ 100p+4500-100p-3000 \\ 1500 \end{gathered}`

The result is positive 1500. Therefore the function was shifted up in 1500 units. The correct answer is A).