2-6 Practice Families Of Functions Form K Answer Key !link! Link

Answer: ( g(x) = -|x| - 3 ) Reason: Negative outside reflects; (-3) shifts down.

. The negative sign is outside the function, flipping it upside down. . The negative sign is inside with the , flipping it left-to-right. 3. Stretches and Compressions This changes the "steepness" or "width" of the graph. Vertical Stretch: . The graph looks "skinnier" or taller. Vertical Compression: (like a fraction). The graph looks "flatter" or wider. Example Problem Walkthrough 2-6 practice families of functions form k answer key

A family of functions is a set of functions whose equations are related and whose graphs share a common shape. Each family is built from a (the simplest form) and then transformed. Answer: ( g(x) = -|x| - 3 )

– common mistakes highlighted

Answer: ( g(x) = 2(x - 3)^2 - 2 ) Reason: “Half as wide” → vertical stretch by 2 (since narrower = larger |a|). Vertex (3,-2) gives shift right 3, down 2. Stretches and Compressions This changes the "steepness" or