To determine. The correct graph for the function g(x)=−12f(x)+1 is B

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To determine. The correct graph for the function g(x)=−12f(x)+1 is B

Asma Vang · Accepted Answer

Vertical translation: For b &amp;gt; 0, The graph of y=f(x) + b is the graph of y=f(x) {shifted up b units} The graph of y=f(x) − b is the graph of y=f(x) + b {shifted down b units} Reflection: Across the x-axis: The graph of y= −f(x) is the reflection of the graph of y=f(x) across the x-axis Across the y-axis: The graph of y= f(−x) is the reflection of the graph of y=f(x) across the x-axis Vertically Stretching or Shrinking: The graph of y= af(−x) can be obtained from the graph of y=f(x) by Stretching verttically for midamid &amp;gt; 1 or shrinking vertically for a &amp;gt; midamid &amp;gt; 1. For a&amp;lt;0, the graph is also reflected across the x-axis . By the properties of transformation, the graph of g(x)=−12f(x)+1 is, The transformation of y=f(x) and shri vertically by a factor of 12 Then the graph is reflection about the x-axis and shifted up one unit. From the given graphs, the graphs B satisfies the all condition&#039;s stated above. Thus, the correct graph for the function g(x)=−12f(x)+1 is B

To determine.The correct graph for the function[g(x)=-frac{1}{2}f(x)+1 is B

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