Which transformations take f(x)=3x+1 to g(x)=−3x-5 ?
I think A
Question 1 options:
a reflection over the y-axis and a translation 4 units up
a reflection over the y-axis and a translation 4 units down
a reflection over the x-axis and a translation 4 units up
a reflection over the x-axis and a translation 4 units down
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So do I have the right answer
To determine which transformations take f(x) = 3x + 1 to g(x) = -3x - 5, we need to compare the equations of f(x) and g(x).
The equation of f(x) = 3x + 1 tells us that the function is a linear function with a slope of 3 and a y-intercept of 1.
On the other hand, the equation of g(x) = -3x - 5 tells us that the function is a linear function with a slope of -3 and a y-intercept of -5.
By comparing the two equations, we can see that the only transformation that would result in the change of slope and y-intercept is a reflection over the x-axis.
Therefore, the correct answer is: a reflection over the x-axis and a translation 4 units down.