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Which type of transformation does the function g(x) = -3/4x - 1 represent?

A) A Less Steep
B) A Reflection
C) A More Steep
D) None of the above

1 Answer

4 votes

Final answer:

The function g(x) represents a less steep line due to its negative slope, which makes it a reflection across the x-axis and less steep compared to the parent function with a slope of 1.

Step-by-step explanation:

The function g(x) = -3/4x - 1 represents a straight line with a negative slope. A negative coefficient in front of x indicates that the slope is negative, making the line decrease as x increases. Therefore, it's a reflection across the x-axis if compared with the parent function f(x) = x. The number -3/4 shows the steepness of the line. If we consider the function f(x) = x, which has a slope of 1, then a slope of -3/4 is less steep than a slope of 1. Thus, the transformation does not result in a more steep line but rather a less steep one compared to the parent function. So, the correct option is A) A Less Steep.

answered
User Holger Peine
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