The figure shows triangle pqr and some of its transformed images on a coordinate grid: a coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. a triangle labeled pqr is shown on ordered pair 1, 1 and 1, 4 and 3, 1. another triangle labeled image a is shown on ordered pair 1, negative 1 and 1, negative 4 and 3, negative 1. another triangle labeled image b is shown on ordered pair negative1, negative 1 and negative 1, negative 4 and negative 3, negative 1. another triangle labeled image c is shown on ordered pair negative 5, 1 and negative 5, 4 and negative 3, 1. another triangle labeled image d is shown on ordered pair negative1, 1 and negative 1, 4 and negative 3, 1. which of the four triangles was formed by a translation of triangle pqr? a b c d

C

Step-by-step explanation:

Triangle A is a reflection across the x-axis. All the y coordinates are negated.

Triangle B is a rotation 180° about the origin. All coordinates are negated.

Triangle C is a translation to the left by 6 units. 6 is subtracted from each x-coordinate.

Triangle D is a reflection across the y-axis. All the x-coordinates are negated.

Comment on presentation

Your question would be much easier to read if you would simply use minus signs (hyphens) and conventional ordered-pair presentation: (1, -1), (1, -4), (3, -1), for example, for triangle A.

maybe i can

5x + 5

step-by-step explanation:

you should always add the diagrams and graphs we cannot see. this particular question is kind of borderline because we can make a graph for you.

(f + g)x = -x^2 +3x + 5 + x^2 + 2x

(f + g)x = 5x + 5

the graph of z = 5x + 5 is shown below. always use desmos when in doubt.