The function f(x) = x2 − 2x + 8 is transformed such that g(x) = f(x − 2). find the vertex of g(x).
(1, 5)
(3, 7)
(1, 9)
(−1, 7)

Second option.

Step-by-step explanation:

Given the function f(x):

Find :

Remember that:

Then, simplifying:

So the function g(x) is:

Use the following formula to find the x-coordinate of the vertex of g(x):

In this case:

Then:

Substitute this value into the function g(x) in order to find the y-coordinate of the vertex. Since , you get:

Therefore, the vertex of g(x) is:

man its nopq i just guessed and got it right so uhh

g00d lucc

step-by-step explanation:

none.

step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

tap for more

m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0