Consider the function f(x)=2x-6 match each transformation with its description. shifts f(x) 4 units down
compresses f(x) by a factor of 1/4 toward the y-axis
shifts f(x) 4 units right
stretches f(x) by a factor of 4 away from the x-axis

awnsers to use: g(x)=2x-14 g(x)=8x-6 g(x)=2x-2 g(x)=8x-24 g(x)=8x-4

To find the extreme values of a function f(x.y) on a curve x-x(t), y y(t), treat f as a function of the single variable t and use the chain rule to find where df/dt is zero. in any other single-variable case, the extreme values of f are then found among the values at the critical points (points where df/dt is zero or fails to exist), and endpoints of the parameter domain. find the absolute maximum and minimum values of the following function on the given curves. use the parametric equations x=2cos t, y 2 sin t functions: curves: i) the semicircle x4,y20 i) the quarter circle x2+y-4, x20, y20 b, g(x,y)=xy

Agroup of students want to create a garden. they do not know the exact measurements but they propose using a variable to represent the length and width of the garden. the length of the garden is 10 feet longer than double the width. use a single variable to write algebraic expressions for both the length and width of the garden. write an algebraic expression for the area of the garden. use mathematical terms to describe this expression.

If 3x+8=3x+8 is it one solution or no solution