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

Algebra ->  Customizable Word Problem Solvers  -> Misc -> 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      Log On

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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) About Me  (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.