Match Each Function

[nycmathguy]

Section 1.7
Question 4

Match each function h with the transformation it represents, where c > 0.

(a) h(x) = f(x) + c

I say (a) is a match for (iv).

(b) h(x) = f(x) − c

I say (b) is a match for (ii).

(c) h(x) = f(x + c)

I say (c) is a match for (iii).

(d) h(x) = f(x − c)

I say (d) is a match for (i).

(i) A horizontal shift of f, c units to the right.

(ii) A vertical shift of f, c units down.

(iii) A horizontal shift of f, c units to the left.

(iv) A vertical shift of f, c units up.

 

[MathLover1]

perfect

 

[nycmathguy]

perfect

I'm cooking with gas like Richie said on Happy Days.