f(x)=alogb(cx+d)+e𝑓(𝑥)=𝑎log𝑏(𝑐𝑥+𝑑)+𝑒If you have a negative sign in front of the "x", this represents what type of transformation?Answer 1 Question 10"e" represents what type of transformation?Answer 2 Question 10If you have a negative sign in front of the entire function, this represents what type of transformation?Answer 3 Question 10"a" represents what type of transformation?Answer 4 Question 10 "b" representsAnswer 5 Question 10"c" represents what type of transformation?Answer 6 Question 10"d" represents what type of transformation?
Question
f(x)=alogb(cx+d)+e𝑓(𝑥)=𝑎log𝑏(𝑐𝑥+𝑑)+𝑒If you have a negative sign in front of the "x", this represents what type of transformation?Answer 1 Question 10"e" represents what type of transformation?Answer 2 Question 10If you have a negative sign in front of the entire function, this represents what type of transformation?Answer 3 Question 10"a" represents what type of transformation?Answer 4 Question 10 "b" representsAnswer 5 Question 10"c" represents what type of transformation?Answer 6 Question 10"d" represents what type of transformation?
Solution
Answer 1: A negative sign in front of the "x" represents a reflection over the y-axis.
Answer 2: "e" represents a vertical shift. If "e" is positive, the graph shifts up; if "e" is negative, the graph shifts down.
Answer 3: A negative sign in front of the entire function represents a reflection over the x-axis.
Answer 4: "a" represents a vertical stretch or compression. If "a" is greater than 1, the graph stretches; if "a" is less than 1 (but greater than 0), the graph compresses.
Answer 5: "b" represents a base of the logarithm. It doesn't represent a transformation, but it does affect the shape of the graph.
Answer 6: "c" represents a horizontal stretch or compression. If "c" is greater than 1, the graph compresses; if "c" is less than 1 (but greater than 0), the graph stretches.
Answer 7: "d" represents a horizontal shift. If "d" is positive, the graph shifts to the left; if "d" is negative, the graph shifts to the right.
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