Question

Which of the following equations represents the graph?
f(x) = (x - 4)2 - 6
f(x) = (x + 4)2 + 6
f(x) = (x + 4)2 - 6
f(x) = (x - 4)2 + 6

Answer 1

this is the graph

Answer 2

start by finding the coordinates of vertex, the turning point

Answer 3

-6, -4??

Answer 4

x coordinate always comes first

vertex = (h, k) = (-4, -6)

ok ?

Answer 5

ok

Answer 6

remember the vertex form of parabola ?

Answer 7

y = a(x - h)^2 + k

plug coordinates of vertex above

Answer 8

y = a(x-4)^2-6?

Answer 9

careful, h is negative 4

Answer 10

it should be

y = a(x- (-4))^2-6

which is same as

y = a(x + 4)^2 - 6

Answer 11

right so its like flipping it

Answer 12

look at the options

Answer 13

OH thank you so much!

Answer 14

yw!