418 McGRAW-HILL’S SAT
SAT Practice 3: Transformations
- The shaded region above,with area A, indicates
the area between the x-axis and the portion of
y= f(x) that lies above the x-axis. For which of
the following functions will the area between
thex-axis and the portion of the function that
lies above the x-axis be greaterthan A?
(A) y=^1 / 2 f(x)
(B) y= f(x2)
(C) y= f(x+ 2)
(D) y= f(x) + 2
(E) y= f(x) 2 - The figure above shows the graph of the func-
tion y= g(x), which has a minimum value at the
point (1, 2). What is the maximumvalue of
the function h(x) = 3 g(x) 1?
(A) 7
(B) 6
(C) 5
(D) 4
(E) It cannot be determined from the infor-
mation given. - A point is reflected first over the line y= x,
then over the x-axis, and then over the y-axis.
The resulting point has the coordinates (3, 4).
What were the coordinates of the original
point?
(A) (3, 4)
(B) (3, 4)
(C) (3, 4)
(D) (4, 3)
(E) (4, 3)
Note:Figure not drawn to scale.- In the figure above, point Qis the reflection of
point Pover the line y= 6, and point Ris the re-
flection of point Qover the line y= 1. What is
the length of line segment PR?
(A) 10
(B) 11
(C) 12
(D) 13
(E) 14