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10 votes
10 votes
Select the statements that are true for the graph of y=(x−1)2−6 .

Select all correct statements.



The vertex is (1, −6) .

The graph has a maximum.

The vertex is ​ (−1, −6) ​.

The graph has a minimum.

User Rick Gladwin
by
2.3k points

2 Answers

13 votes
13 votes

Answer:

A) The vertex is (1, -6)

D) The graph has a minimum

Explanation:

Just took the test and these were the correct answers. Hope this helps!!!

Select the statements that are true for the graph of y=(x−1)2−6 . Select all correct-example-1
User Suffii
by
3.6k points
9 votes
9 votes

Answer:

graph has a minimum ( looks like V or faces upward )

vertex is (1, −6)

Explanation:

*** got to put ^ when typing exponents!!!

y=(x−1)^2−6

y=x^2-2x+1−6

y=x^2-2x-5

basic form is

y = ax^2+bx+c

x vertex = -b/2a

x vertex = -(-2)/2(1)

x vertex = 2/2

x vertex = 1

y vertex = plug x back into the equation

y vertex = y=(1)^2-2(1)-5

y vertex = y=1-2-5

y vertex = y=-6

vertex is (1, −6)

basic form is

y = ax^2+bx+c

if a is positive curve has a minimum means it looks like V or faces upward

if a is negative curve has a maximum means it looks like ^ or faces down

here a is positive so

graph has a minimum

Brian McLogan

User Joshua Clark
by
2.4k points