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Question 1202225: If the parabola has equation y = 2(x - 4)? - 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.
Answer by ikleyn(52794)   (Show Source):
You can put this solution on YOUR website! .
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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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. ANSWER
The problem is SOLVED.
Please write me if you get all my explanations in full.
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