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To shift the absolute value parent function ( F(x) = |x| ) eight units to the left, you replace ( x ) with ( x + 8 ), resulting in ( F(x) = |x + 8| ). Then, to shift the function down three units, you subtract 3 from the entire function, yielding the final equation ( F(x) = |x + 8| - 3 ).

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2mo ago

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Related Questions

If you vertically compress the absolute value parent function f(x) x by a factor of 3 what is the equation of the new function?

f(x) = |f(x)|/3


If you vertically stretch the absolute value parent function f(x) x by a factor of 3 which of these is the equation of the new function?

It is f(x) = 3|x|.


What is the equation of the parent quadratic function?

x2


What is the parent function of absolute value?

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Is the y intercept the same as a absolute value parent function?

No, the y-intercept is not the same as the absolute value parent function. The absolute value parent function, represented as ( f(x) = |x| ), has a vertex at the origin (0, 0), which serves as its y-intercept. While the absolute value function does have a specific y-intercept, the term "y-intercept" generally refers to the point where any function crosses the y-axis, which can vary depending on the function in question.


What is the parent function for a linear equation?

Y=x


If you apply the changes below to the linear parent function f(x) x what is the equation of the new function?

To determine the equation of the new function after applying changes to the linear parent function ( f(x) = x ), we need to know the specific transformations applied, such as shifts, stretches, or reflections. For example, if we apply a vertical shift up by 3 units, the new function would be ( f(x) = x + 3 ). If we apply a horizontal shift to the right by 2 units, it would be ( f(x) = x - 2 ). Please provide the specific changes for a precise new equation.


What is the parent function to a logarithmic equation?

y = b^x


Which is not a characteristic of the absolute value parent function?

the range is all real numbers


What is the range of absolute value parent function?

apex what is the range of the absolute... answer is nonnegative real num...


What of the following is a key property of the absolute value parent function?

It’s vertex is not at the origin


Does the parent function of an absolute value equation have a vertex at 0 0?

Yes. (I would like to note that I am not incredibly familiar with this so if someone with more knowledge on the subject wouldn't mind verifying this that would be great.)