Question

think about the process what is true about a figure and an image created by a translation? the vertices of parallelogram gram are g(-8, -9), r(-7, -5), a(-4, -5), and m(-5, -9). graph gram and gram, its image after a translation 10 units right and 1 unit up. graph gram and gram. choose the correct graph below. a. b. c. d.

Explanation:

Step1: Apply translation rule

For a point $(x,y)$, translating 10 units right and 1 unit up gives $(x+10, y+1)$.

• $G(-8,-9) \to G'(-8+10, -9+1)=(2,-8)$
• $R(-7,-5) \to R'(-7+10, -5+1)=(3,-4)$
• $A(-4,-5) \to A'(-4+10, -5+1)=(6,-4)$
• $M(-5,-9) \to M'(-5+10, -9+1)=(5,-8)$

Step2: Verify coordinates match option

Check which graph has original vertices $(-8,-9), (-7,-5), (-4,-5), (-5,-9)$ and translated vertices $(2,-8), (3,-4), (6,-4), (5,-8)$. Option B matches these coordinate positions.

Answer:

B. <The graph showing the original parallelogram GRAM on the left side of the coordinate plane and its image G'R'A'M' shifted 10 units right and 1 unit up>