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Mathematics 19 Online
OpenStudy (yumyum247):

Graph y=x^2 and y=4x^2 on the same grid. Describe the transformation that has been applied to y=4x^2 in relation to its parent function.

OpenStudy (yumyum247):

OpenStudy (yumyum247):

@ganeshie8

OpenStudy (yumyum247):

help me plz!! <3

OpenStudy (yumyum247):

i think the graph has compressed by a factor of "4".

OpenStudy (erak):

In this case, it would be a stretch of 4.

OpenStudy (yumyum247):

i checked it, the original graph compresses inward..ive even attached a picture

OpenStudy (yumyum247):

but i dont understand how tho?

OpenStudy (erak):

Okay for vertical transformations, it's named oddly. If that number in front of x is greater than 1 (in this case it is 4), it's called a stretch. If it's between 0 and 1, (e.g. 0.5) it would be a compression.

OpenStudy (erak):

To help, think of a vertical stretch as pulling down on the parabola to stretch it out, not sideways.

OpenStudy (yumyum247):

dear i know that but when i graph both of those equation i get a different picture but why??

OpenStudy (erak):

Basically in y = 4x^2 all of the y values have been multiplied by 4. Just call it a vertical stretch of 4.

OpenStudy (yumyum247):

so basically it's an exponential equation oh i c...thanks

OpenStudy (erak):

Oh y = x^2 is called a quadratic, y = b^x would be an exponential

OpenStudy (yumyum247):

yeah sowee...lol it's quadratic

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