describe how the graph of y+x^2 can be transformed to the graph of the given equation.
y=x^2-12
@ganeshie8 @hero @myininaya @pooja195 @michele_laino @campbell_st @solomonzelman @loser66 @ligi0210 @mathstudent55 @e.mccormick

Question

describe how the graph of y+x^2 can be transformed to the graph of the given equation. 
y=x^2-12 
@ganeshie8 @hero @myininaya @pooja195 @michele_laino @campbell_st @solomonzelman @loser66 @ligi0210 @mathstudent55 @e.mccormick

anonymous · Answer

can u show me step by step @Loser66

mathstudent55 · Answer

If you have any function, such as 

y = f(x), 

and you add a constant to the right side, and the function becomes

y = f(x) + k, 

then the graph shifts k units vertically.

anonymous · Answer

so it shifts up 12 units right? @mathstudent55

anonymous · Answer

@Loser66

anonymous · Answer

can u just tell me if I'm right @Loser66

mathstudent55 · Answer

In your case, k = -12, so it shifts 12 units down.

anonymous · Answer

@mathstudent55 can you help me with a quick question please :)

mathstudent55 · Answer

y = x^2 compared to 
y = x^2 - 12

Your function can be written as:
y = x^2 + (-12)
Since k = -12, a negative number, the shift is down 12 units.

michele_laino · Answer

hint:
we have these graphs:
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