Question

I am taking Algebra 2 and am completely hopeless..can anyone explain the transformations of quadratic functions????

Answer 1

y= a (x-h)^2 + k

h shift to the right
k shift to the up/down
a determine the width

Answer 2

let's to an example

start with something simple

y= x^2

y= (x-2)^2+3 , shifts right by 2, up by 3
y= (x+3)^2+5 , shift left by 3, up by 5

Answer 3

written like that is vertex form,so..okay,is the "h" always going to be left or right depending on if its positive or negative?

Answer 4

well if h is positive , it shifts right

Answer 5

okay,so what about compressions and stretches?

Answer 6

a does that

Answer 7

bigger than a , narrower the parabola

Answer 8

here is plot of

y=4x^2 (narrow one)

y= 2x^2 (wide one)

http://www4b.wolframalpha.com/Calculate/MSP/MSP370319ig835i29gc8a8500001684b7efd8ch5ga6?MSPStoreType=image/gif&s=24&w=399&h=199&cdf=RangeControl