Question

What is the range of the graph of y = -3(x - 4)2 + 1?
y>=3
y<=3
y>=1
y<=1

Answer 1

HinT: what is the lowest possibly value of (x - 4) ^2 ?

Answer 2

- remember that a square of a real number cannt be negative

Answer 3

uhm...i have no clue...4?

Answer 4

plug in x = 4

Answer 5

it would be y=1

Answer 6

when x = 4 y = 1 yes

Answer 7

because (x - 4)^2 would be 0

Answer 8

the lowest possible value of (x - 4)^2 is 0

Answer 9

so y>=1 ?

Answer 10

No because we have a negative coefficient -3

Answer 11

okay this makes no sense what so ever.

Answer 12

y<=1 ?
because if you plug in 5 for x you get a negative number for y

Answer 13

yes - thats was i was going to say
and if you plug in x = 3 you get a negative value for y also
the (x -4)2) is always going to be positive so -3(x -4^2 is always negative

Answer 14

so its y <= 1

Answer 15

thank you so much :)

Answer 16

yw