Question

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.

Answer 1

Answer:

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

vertex is (1, −6)

Step-by-step 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