SOLUTION: If the graph of the parent function f(x)=x^2 is shifted 6 units to the right, three units up, and reflected in the x-axis, then the point (-2,19) will lie on the transformation. Tr
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Question 1066428: If the graph of the parent function f(x)=x^2 is shifted 6 units to the right, three units up, and reflected in the x-axis, then the point (-2,19) will lie on the transformation. True or false. Explain why.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
this reference should help.
http://home.windstream.net/okrebs/page43.html
start with y = x^2.
that looks like this:
shift it to the right 6 units.
that makes it y = (x-6)^2.
that looks like this:
raise it up 3 units.
that makes it y = (x-6)^2 + 3
that looks like this:
reflect it about the x-axis.
that makes it y = -((x-6)^2 + 3)
that looks like this:
(x,y) = (-2,19) is not on the graph of the reflection about the x-axis.
if you reflected it about the y-axis, the equation would look like this:
y = ((-x)-6)^2 + 3)
that looks like this:
(-2,19) is on the reflection about the y-axis.
it is not on the reflection about the x-axis.
your solution is false.
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