Question 1199671
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The graph of y=square root of x is stretched {{{highlight(vertically)}}} by a factor of 2, 
reflected over x- axis, {{{highlight(cross(equation))}}} translated vertically upward by 3 units, 
translated 4 units to the left . Determine the equation that results from these translations 
and sketch an accurate graph using at least 3 points.
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                                        Step by step 


<pre>
        T H E   W O R D S                           T H E   F O R M U L A S


(1)  The graph of y=square root of x          --->  y = {{{sqrt(x)}}}


(2)  is stretched vertically by a factor of 2 --->  y = {{{2*sqrt(x)}}}


(3)  reflected over x- axis                   --->  y = {{{-2*sqrt(x)}}}


(4)  translated vertically upward by 3 units  --->  y = {{{-2*sqrt(x)+3}}}


(5)  translated 4 units to the left           --->  y = {{{-2*sqrt(x+4)+3}}}


    +----------------------------------------------------------+
    |  The final expression (defining the final function) is   |
    |                                                          |
    |            y = {{{-2*sqrt(x+4)+3}}}.    <U>ANSWER</U>                  |
    +----------------------------------------------------------+
</pre>

Solved.


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