Select all of the descriptions which describe a transformation of the graph of f(x)=x that could result in the graph of g(x) = 2x.

A. The graph is translated 2 units to the right.

B. The graph is rotated about (0,0), becoming steeper.

C. The graph is vertically stretched.

D. The graph is translated 2 units up.

E. The graph is vertically shrunk.

F. The graph is reflected across the x-axis.

The trigonometric ratios sine and secant are reciprocals of each other

Which line is parallel to the line that passes through the points (2, –5) and (–4, 1) a. y=-x+5 b. y=-2/3x+3 c. y=2/3x-2 d. y=x+5

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.