Suppose that f(x)=x^3 and g(x)=-2^3-7 which statement best compares the graph of g(x) with the graph of f(x)
1 answer:
Answer:
A. The graph of is the graph of
stretched vertically, flipped over the x axis, and shifted 7 units down.
Step-by-step explanation:
Given:
In order to transform to
, we need to follow the following transformation rules:
1. Multiply the function by the number 2. According to transformation rules, multiplying a function by a positive number greater than 1 results in vertical stretch of the function's graph.
2. Multiply by -1. Multiplying a function by -1 flips it over the x axis.
3. Add -7 to the function obtained in step 2. When a negative number C is added to a function, then the graph shift down by C units. So, here the graph shifts down by 7 units.
Thus, the graph of is the graph of
stretched vertically, flipped over the x axis, and shifted 7 units down.
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The function f(x)=ln(9.2x) is a horizontal compression of the parent function by a factor of 1/9.2
Step-by-step explanation:
The multiplication of a function by a number compresses or stretches the function vertically while to compress or stretch the function horizontally, the input variable is multiplied with a number.
i.e.
where b is a constant.
Now
If b>0 then the function is compressed horizontally
The given function is:
As the variable in function is multiplied with a number greater than zero, the function will stretch horizontally.
The function f(x)=ln(9.2x) is a horizontal compression of the parent function by a factor of 1/9.2
Keywords: Transformation
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