Question

Write each function in vertex form, then match each quadratic function with it vertex axis of symmetry and direction of opening.
y= \frac{1}{3} (x-1)^2+2

Answer 1

\(y= \frac{1}{3} (x-1)2+2 \)

Answer 2

\[\large y=\cfrac12 (x-1)^2 +2\]

Answer 3

compare it with

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

Answer 4

vertex = \(( h, k)\)

Answer 5

since \(\large a = \frac{1}{3}\) is positive, the function will rise and will open UP

Answer 6

\[\large y=\color{green}a(x-\color{blue}h)^2+\color{blue}k\]\[\large y=\color{green}{\cfrac13}(x-\color{blue}1)^2+\color{blue}2\]

Answer 7

ok um what do u mean by vertex

Answer 8

\[\large \text{vertex} = \color{blue}{(h,k)}\]

Answer 9

so (1,2)

Answer 10

Yep,

Vertex = axis of symmetry on a parabola.

Answer 11

so the answer (1,2)x=1 and up

Answer 12

Yep.

Answer 13

van you help me with a few more

Answer 14

*Can

Answer 15

http://fooplot.com/plot/acn192saks your graph.

Answer 16

idk how to use that

Answer 17

Just click the link and look at the graph posted there. It shows you your function and the axis of symmetry.

Answer 18

ok

Answer 19

Alrighty.