5 Steps to a 5 AP Calculus AB 2019 - William Ma

MA 3972-MA-Book May 8, 2018 13:46

76 STEP 4. Review the Knowledge You Need to Score High

The graph ofy= f(−x) is a reflection of the graph ofy=f(x) about they-axis. (See

Figure 5.4-16.)

x

y

y = f(−x) y = f(x)

−a 0 a

Figure 5.4-16

The graph ofy=−f(−x) is a reflection of the graph ofy= f(x) about the origin. (See

Figure 5.4-17.)

x

y

y = −f(−x)

y = f(x)

(a, b)

(−a, −b)

0

Figure 5.4-17

Stretching Graphs

Giveny= f(x), the graph ofy=af(x), wherea >1 is a vertical stretch of the graph

ofy= f(x), andy=af(x), where 0<a<1 is a vertical shrink of the graph ofy= f(x).

(See Figure 5.4-18.)

x

y

f(x)

af(x), 0 < a < 1

af(x), a > 1

0

Figure 5.4-18