Question

Compare the graph of g(x) = 6x2 with the graph of f(x) = x2.

Answer 1

Answer:

see explanation

Explanation:

the graph of g(x) is the graph of f(x) shifted vertically by

+ 6 units

or equivalent to a translation  

(

0

6

)

in general  

g

(

x

)

=

x

2

±

a

for  

a

>

0

shift is  

(

0

a

)

↑

⏐

⏐

⏐

⏐

for  

a

<

0

shift is  

(

0

−

a

)

⏐

⏐

⏐

⏐

↓

graph{(y-x^2)(y-x^2-6)=0 [-20, 20, -10, 10]}

Step-by-step explanation: