Victory for the ACT Student Text 15e

L ESSON 3 | C OORDINATE G EOMETRY • 235

TRANSFORMATIONS AND THEIR EFFECTS ON GRAPHS OF FUNCTIONS

Š‡ ϐ‹‰—”‡ „‡Ž‘™ ”‡’”‡•‡–• –Š‡ ‰”ƒ’Š ‘ˆ ( ) y f x in the coordinate plane.

ˆ –Š‡ –”‹ƒ‰Ž‡ ‹ –Š‡ ϐ‹‰—”‡ „‡Ž‘™ ‹• ”‡ϐŽ‡…–‡† ƒ…”‘•• –Š‡ y -axis and then ”‡ϐŽ‡…–‡† ƒ…”‘•• –Š‡ x Ǧƒš‹•ǡ ™Š‹…Š ‘ˆ –Š‡ ‰”ƒ’Š• –Šƒ– ˆ‘ŽŽ‘™ •Š‘™• –Š‡ ”‡•—Ž–‹‰ position of the triangle?

27.

28.

Throwback to Math Class Vertical Translations : ( ) ( ) f x b f x + = moved up b units, and ( ) ( ) f x b f x − = ‘˜‡† †‘™ b units. Horizontal Translations : ( ) ( ) f x b f x + = shifted b units to the left, and ( ) ( ) f x b f x − = shifted b units to the right.

Š‹…Š ‘ˆ –Š‡ ˆ‘ŽŽ‘™‹‰ ‹• –Š‡ ‰”ƒ’Š ‘ˆ ( 1) ’ f x y = − ? A. D. B. E. C.

F.

J.

G.

K.

H.