SOLUTION: the question is: if we begin a graph of f(x)=the square root of x, shift 4 units to the right, shrink vertically by a factor of 1/2 , and shift upward 10 units, write an equation
Algebra.Com
Question 204995: the question is: if we begin a graph of f(x)=the square root of x, shift 4 units to the right, shrink vertically by a factor of 1/2 , and shift upward 10 units, write an equation for the transformed graph.
so far I have:
(the square root of x)- 4(four units to the right) + 10( 10 units upwards)
I do not know how to do with the part that says shrink vertically by 1/2
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The question is: if we begin a graph of f(x)=the square root of x,
y = sqrt(x)
--------------------
shift 4 units to the right,
y = sqrt(x-4)
--------------------
shrink vertically by a factor of 1/2
y = (1/2)sqrt(x-4)
------------------------------------
, and shift upward 10 units,
y = (1/2)sqrt(x-4)+ 10
==================================
Cheers,
Stan H.
--------------------------------
RELATED QUESTIONS
I need help making the equations
10. A function f is given, and the indicated... (answered by Theo)
To graph the function g(x) = (1/12)(sqrtx-3) + 10, start with the graph of f(x) = (sqrtx) (answered by jim_thompson5910)
A function f is given, and the indicated transformations are applied to its graph (in the (answered by greenestamps)
Transformation of function PLEASE HELP!
Suppose the graph of f is given and
g(x) =... (answered by josgarithmetic)
The function g is related to aparent functions.
g(x)= 1/2|x-4|-5
a. Find the parent... (answered by greenestamps)
{{{ Let g(x) = 27 (x + 2)(x - 24) }}} What are the resulting functions?
The graph of (answered by stanbon)
Compare each given function to its parent function, circling all appropriate... (answered by robertb)
Did I do this correctly?
A function f is given, and the indicated transformations are... (answered by ewatrrr)
Hi!
A function f is given, and the indicated transformations are applied to its graph... (answered by stanbon)