Question 1202232
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If the parabola has equation y = 2(x-4)^2 - 1 as a base function, write an equation for the
parabola if there is a reflection in the x-axis followed by a translation of 3 units upwards.
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<pre>
First, reflection in the x-axis turns the function into

    y = -2(x-4)^2 + 1.


    +---------------------------------------------------------------+
    |   It simply changes the sign of all terms in the right side.  |
    +---------------------------------------------------------------+


So, after this transformation our function is

    y = -2(x-4)^2 + 1.    (1)


The translation of 3 units upwards adds 3 to the function (1),
so after this translation your function is

    y = -2(x-4)^2 + 4.    <U>ANSWER</U>
</pre>

The problem is SOLVED.


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