Question

PLEASE HELP PLEASE:

Write each quadratic function in vertex form. Give the coordinates of the vertex and the equation of the axis of symmetry. Then describe the transformations from f(x)= x^2 to g.

g(x)=-x^2+2

Answer 1

do you know how to graph these two equation?

Answer 2

no

Answer 3

http://www.mathsisfun.com/data/function-grapher.php#functions

Answer 4

try that

Answer 5

can you see the vertex of each eq?

Answer 6

..how do i enter them in?

Answer 7

nevermind

Answer 8

yes

Answer 9

now that you know the vertex of each you can write the vertex form of each of the equation

Answer 10

the vertex form formula is
a(x-h)+k=0, where vertex= (h,k)

Answer 11

oh ok

Answer 12

so h is x
and k is y

Answer 13

from ax^2 +bx +c=0
f(x)=-x^2+2= x^2 where b=0, c=0
g(x)=-x^2+2, where b=0,c=2

Answer 14

wait why is f(x)=-x^2+2= x^2? shouldn't it be just f(x)=x^2?

Answer 15

these two eQ are different, see the graph

Answer 16

why is the f(x) different?

Answer 17

the main form is f(x)=x^2 but if you change them to y=-x^2 now theres a negative sign then if you add 2 then you have to jump up 2 on y axis

Answer 18

did you see the difference between the two graph now?

Answer 19

oh so your showing the transformation?