Question

what are the coordinates of the vertex function:
y-11=-(x-5)^2

Answer 1

hey

Answer 2

hi!

Answer 3

(x-5) means the graph is shifted to what direction?

Answer 4

it is negative right? and to the left?

Answer 5

works a little hte other way around

Answer 6

so the right?

Answer 7

yeah

Answer 8

think about it for x^2

Answer 9

if u put 0 in for y=x^2, the aswer is 0^2 = 0
but for (x-5)^2 ; when x = 0 ; y = 25!

Answer 10

so its, (0,25) ?

Answer 11

and u dont get to 25 on
y=x^2 untill you get to x = 5

Answer 12

yes good observation!

Answer 13

okay lets see how the other values effect this graph

Answer 14

haha! thank you!

Answer 15

y-11=-(x-5)^2
theres a - infront of that whole (x-5)^2 so its a negative parabola function(going downward)

Answer 16

oh okay that makes sense

Answer 17

and the value of y is affected by this y-11, how does this effect the graph

Answer 18

also facing downward?

Answer 19

remember how (x-5) told you some shift to the right or left
what about (y-11) will that also tell you some shift, perhaps up or down now

Answer 20

down!

Answer 21

again its a little bit weird like the x-5, its actually being shifted up

Answer 22

but its a little more easier to see if you put it in this form