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The linear parent function, f(x) = x, transformed to g(x) = x+ 7. Whichstatement correctly compares the graphs of the functions?A. The graph of g(x) is less steep than the graph of f(x) and theyintercept has been shifted down.B. The graph of g(x) is steeper than the graph of f(x) and theyintercept has been shifted up.C. The graph of g(x) is less steep than the graph of f(x) and theyintercept has been shifted up.D. The graph of g(x) is steeper than the graph of f(x) and theyintercept has been shifted down.

User Dheepak
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1 Answer

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The parent function given is


\begin{gathered} f(x)=x \\ \text{its has a slope of 1} \end{gathered}

The transformed function given is


\begin{gathered} g(x)=(1)/(2)x+7 \\ \text{which has a slope of 1/2} \end{gathered}

There is a reduction in the slope of the functions which makes the transformed function become less steep

The slope reduced from


1\text{ to 1/2}

There is also a change in the intercept from


0\text{ to +7}

And this indicates that the transformed function has been shifted up by 7 units

With the explanation above, we can therefore conclude that the statement which compares the two graphs of the function is

The graph of g(x) is less steep than the graph of f(x) and the intercept has been shifted up

Hence, The correct answer is OPTION C

The linear parent function, f(x) = x, transformed to g(x) = x+ 7. Whichstatement correctly-example-1
User Zmen Hu
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