Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = –8x + x2 + 7 ?

2 answers:

hjlf3 years ago

8 0

Vertex of x^2 = (0,0)

Vertex of x^2 - 8x + 7

   Find the roots by factoring
   (x - 7)( x -1 )=0
   x= 7, x = 1
   middle: [7+1]/2 = 8/2 = 4
   g(4) = 4^2 -8(4) + 7 = 16 - 32 + 7 = -9
   Vertex = (4,-9)

Then the translation is right 4, down 9. This is the first option.

Leya [2.2K]3 years ago

8 0

The vertex form of the function:
g ( x ) = x² - 8 x + 7 = ( x² - 8 x + 16 ) - 16 + 7 =
= ( x - 4 )² - 9
Answer:
C ) right 4, down 9.

You might be interested in

X=1/16y^2 the directrix of the parabola is

yan [13]

To solve this problem you must apply the proccedure shown below:

1. You have the following equation of a parabola, given in the problem above:

x<span>=1/16y^2

2. Then, based on the graph attached, you have:

p=y^2/4x
p=8^2/(4)(4)
p=64/16
p=4

3. The directrix is:

directrix=h-p
directrix=0-4
directrix=-4

The answer is:-4</span>