Question

question 12 of 25

if \\(y = 12x + 7\\) were changed to \\(y = 12x + 2\\), how would the graph of the new function compare with the original?

a. it would be shifted down.
b. it would be shifted up.
c. it would be steeper.
d. it would be less steep.

Explanation:

Compare the equations

$$
LATEXBLOCK0
$$

Analyze the transformation

$$
LATEXBLOCK1
$$

Determine the geometric effect

A subtraction of \(5\) from the function value shifts the entire graph vertically downward by \(5\) units.

Answer:

• A. It would be shifted down. (Correct answer)
• B. It would be shifted up.
• C. It would be steeper.
• D. It would be less steep.