SOLUTION: The graph of y=square root of x is stretched by a factor of 2, reflected over x- axis equation translated vertically upward by 3 units, translated 4 units to the left . Determine t

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The graph of y=square root of x is stretched by a factor of 2, reflected over x- axis equation translated vertically upward by 3 units, translated 4 units to the left . Determine t      Log On


   



Question 1199671: The graph of y=square root of x is stretched by a factor of 2, reflected over x- axis 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.
Thank you:)

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
The graph of y=square root of x is stretched highlight%28vertically%29 by a factor of 2,
reflected over x- axis, highlight%28cross%28equation%29%29 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.
~~~~~~~~~~~~~~~~~~~~


                                        Step by step

        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%28x%29


(2)  is stretched vertically by a factor of 2 --->  y = 2%2Asqrt%28x%29


(3)  reflected over x- axis                   --->  y = -2%2Asqrt%28x%29


(4)  translated vertically upward by 3 units  --->  y = -2%2Asqrt%28x%29%2B3


(5)  translated 4 units to the left           --->  y = -2%2Asqrt%28x%2B4%29%2B3


    +----------------------------------------------------------+
    |  The final expression (defining the final function) is   |
    |                                                          |
    |            y = -2%2Asqrt%28x%2B4%29%2B3.    ANSWER                  |
    +----------------------------------------------------------+

Solved.

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