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A linear function is transformed from y = 2x + 6 to y = 10x + 6. What is the corresponding change in the graph?A)a vertical compression by a factor of 1/8 about the line y = 6B)a vertical compression by a factor of 1/5 about the line y = 6C)a vertical stretch by a factor of 5 about the line y = 6D)a vertical stretch by a factor of 8 about the line y = 6

Answer :

C) vertical stretch by a factor of 5 about the line y=6

Explanation

Step 1

[tex]\begin{gathered} y=2x+6\rightarrow transormation\rightarrow y=10x+6 \\ \text{analyze} \\ x,\text{ from 2x to 10x} \\ \text{factor of x = }\frac{10x}{2x} \\ factor\text{ of x=5} \end{gathered}[/tex]

when the variable ( x in this case) is multiplied by a factor greater than 1, then it is a

C) vertical stretch by a factor of 5 about the line y=6

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