Question

3 If the formula y = x is changed by adding seven as shown in red below. Which of the following best describes the resulting change for each of the functions? Function f(0) = (x + 7)3 ] f(x) = x² +7 Transformation a. The +7 would directly affect the x-values, so the graph would shift horizonally. b. The +7 would directly affect the y-values, so the graph would shift vertically. c. The +7 would have no effect.

Answer 1

Notice that for the first altered function we have that:

$x^3=(x-7+7)^3=f(x-7)$

Therefore the +7 would directly affect the x-values, so the graph would shift horizontally.

For the next function we have that:

$x^3=x^3+7-7=f(x)-7$

Therefore the +7 would directly affect the y-values, so the graph would shift vertically.