SOLUTION: Write the function whose graph is the graph of y=(x+2)^2 but is reflected the x-axis y=____

Algebra ->  Functions -> SOLUTION: Write the function whose graph is the graph of y=(x+2)^2 but is reflected the x-axis y=____      Log On


   

Question 752653: Write the function whose graph is the graph of y=(x+2)^2 but is reflected the x-axis
y=____
Found 2 solutions by josmiceli, Earlsdon:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+y+=+%28+x+%2B+2+%29%5E2+
To reflect on the x-axis, replace +y+
with +-y+
+-y+=+%28+x+%2B+2+%29%5E2+
Multiply both sides by +-1+
+y+=+-%28+x+%2B+2+%29%5E2+
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Here's the plot of both equations:

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
To reflect over the x-axis, simply negate the function, that is, multiply the function by -1.
Parent funtion: y+=+%28x%2B2%29%5E2
Reflected function: y+=+-%28x%2B2%29%5E2