matg
posted by jennifer .
transform function f(x)=x^2 into a new function g(x) by shifting f(x)horizontally 9units to the rig t, reflecting the result across the x axis, and then shifting the result up 4 units. find the equation g(x)

f(x) = (x9)^2 +4
The 9 does the horizontal shift. The minus sign does the reflection about the x axis and the +4 does the upward shift.
Respond to this Question
Similar Questions

Mathematics
The graph of y = 2^x3 can be obtained by shifting the graph of y= 2^x a) 3 units to the right b) 3 units to the left c) 3 units up d) 3 units down e) 2 units to the right and 3 units up The equation of the graph that is obtained by … 
algebra
Graph function using the techinique of shifting, compressing, strecthing and /or reflecting f(x)=5(x+4)^2+1 
algebra
Graph the following function using the technique of shifting, compressing, strecthing and/or reflecting Find domain and range of the function g(x)=2sqrtx3+7 domain=___ (interval notation) range=_____ (interval notation) 
Math
Let f(x) = 4√(2x^2  1). Write an equation of the function obtained by reflecting f(x) in the xaxis and shifting it 56 units upward, do not simplify. 
Math
f(x) = x^3 y1 = x^3 + 4 b) Graph the function obtained from f by first translating up 4 units, then reflecting about the xaxis. Write a formula for the resulting function, y2. y2 = ? 
Math, Help Please IF you can
Chapter 6, Section 6.1, Question 036 The function g(x) is obtained by shifting the graph of y=x^2 If g(3) = 25 (a) g is the result of applying only a horizontal shift to y=x^2 g(x) = (b) g is the result of applying only a vertical … 
PreCalculus
Describe the function resulting from reflecting f(x)=x^3+2x^2x+5 about the yaxis and then shifting to the left by 4. Is this the same as performing the operations in the reverse order 
Math
Which transformation will be equivalent to rotating a figure 270° counterclockwise? 
pre cal
The function f(x)=x2+6x+18 can be obtained from an even function g by shifting its graph horizontally and vertically. That even function is g(x)= ? 
Algebra 2
The graph of f(x)=cos(x) is transformed to a new function, g(x) , by stretching it horizontally by a factor of 4 and shifting it 1 unit up. What is the equation of the new function g(x) ?