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Suppose the graph of y=x^2 is shifted to obtain each the following graphs. What is the equation of the function, g(x) for each graph

2007-12-11 14:22:40 · 4 answers · asked by Anonymous in Science & Mathematics Mathematics

I dont know how to show you the graphs but the points on the first one is-6 curving like thisU up to -10 all of which is on the negative side. the second one has points on y axis at 6 with a curve like this U but goiing onto the negative side on the positive side going up to 10.
There are more but they are to hard to show unless i can post the graph

2007-12-11 14:26:37 · update #1

I dont know how to show you the graphs but the points on the first one is-6 curving like thisU up to -10 all of which is on the negative side. the second one has points on y axis at 6 with a curve like this U but goiing onto the negative side on the positive side going up to 10.
There are more but they are to hard to show unless i can post the graph

2007-12-11 14:26:40 · update #2

Well I dont know how to show the graphs tell me how and I will

2007-12-11 14:32:41 · update #3

2) Suppose the graph of is shifted to obtain each the following graphs. What is the equation of the function, g(x), for each graph?

a)

Answer:


b)

Answer:

2007-12-11 15:03:57 · update #4

The first one doesnt cross the y axis. It curves U it touches -6 on the positive side x axis and curves up to 10 and reaches out to -9 and -3


The second one is on the y axis. U
It reaches out both sides to -2 and 2 it starts at 6 on the y axis. It reaches up to 10

2007-12-11 15:06:14 · update #5

4 answers

Which graphs my Friend?
You need the other graphs because each graph will have a different equation.
all the graphs will have the function y=x^2
all graphs include x^2

If the shape is ( U) means parabola then it's x^2. If the graph is a U moved above 0 then its equation is
g(x)=x^2+ y intercept

Erin : check this link, you probably find your problem or some thing very close to it !

Regards

2007-12-11 14:27:39 · answer #1 · answered by iceman 7 · 0 0

i'm guessing which you particularly prefer a parabola with a) vertex at (0,-3) and b) vertex at (4,0) for a) this could properly be a vertical shift of -3; that is, at a given x, 3 is subtracted from y the equation for that's g(x) = x^2 - 3 (whilst x = 0, y = -3) b) this could properly be a horizontal shift of four, and the equation is g(x) = (x - 4)^2 verify: whilst x = 4, y = 0 a horizontal shift alterations x on an identical fee of y so whilst y = 0 and x = 4, meaning that (4 - h) = 0, so h = 4 this delivers the equation g(x) = (x - 4)^2

2016-11-02 23:29:31 · answer #2 · answered by ? 4 · 0 0

Tell us where the graph crosses the x axis and y axis, and where the "point" of the curve falls.

2007-12-11 14:37:29 · answer #3 · answered by DWRead 7 · 0 0

what do you mean by g(x)
it couuld be anything
you can shift it up down left right or diagnol
left would be
y=(x+4)^2
something like that

2007-12-11 14:27:30 · answer #4 · answered by Sydney 3 · 0 0

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