Describe how the graph of y = x2 can be transformed to the graph of the given equation. y = (x+4)^2
what do you think? it is a horizontal shift, to left or to the right?
Shift the graph of y = x2 up 4 units?
nope,it is either left or right
right?
are you guessing? 4 > 0
I was thinking because the right side is positive and the 4 is positive
\[y= (x+4)^{2}\] it is inside the function the zero is x=-4.
shift the graph to left side if you are adding any units. and shift the graph towards right side if you are subtracting any units from function.
since x+4 , x=-4 Therefore, you are moving 4 units to the left.
|dw:1402804937017:dw||dw:1402805007273:dw|
Oh, I get it. Thank you :) what about for f(x) sqrt x and g(x) sqrt -x ...Describe how to transform the graph of f into the graph of g...would I reflect across the y axis?
yes... because the negative is inside the function.
No reflecting across the x axis at all?
for your grpah y=x^2, its a parabola|dw:1402805146687:dw|
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