How does the graph of f(x) = (x − 8)3 + 4 compare to the parent function g(x) = x3?

Hi there!

The difference between f(x) = 3(x-8) +4 and its parent function is: the function has been shifted right eight units and shifted up four units.

Step-by-step explanation:

---anytime there is a number within a parenthesis for example (x-a) or (x+a) means there is a horizontal shift

*subtracting means you shift to the right, adding means you shift to the left.

The number outside of the parenthesis for example (x)+a or (x)-a means there is a vertical shift

*subtracting means you are shifting down, adding means you are shifting up

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints