Describe how the graph of y= x^2 can be transformed to the graph of the given equation.

y = (x + 14)^2

Question

Describe how the graph of y= x^2 can be transformed to the graph of the given equation.

y = (x + 14)^2

anonymous · Answer

shift to the right? correct?

anonymous · Answer

Shift the graph of y = x^2 right 14 units.

anonymous · Answer

The formula you're looking for is$$y=(x-a)^2$$You have:$$y=(x+14)^2$$If a is positive it means a shift to the right. If a is negative it is a shift to the left. What must a be for the first formula to look the same as the second one?

anonymous · Answer

so i was deff correct

anonymous · Answer

No, you were only partially correct. a=(-14) in your formula because when you replace that in the first formula you get,
$$y=(x-(-14))^2=(x+14)^2$$therefore you are dealing with a shift to the left.

anonymous · Answer

ohh shooot ok thank u so muchhh

anonymous · Answer

You're welcome. It's natural to make these small mistakes. It does get better with practice tho ;)

anonymous · Answer

hehe will do