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Mathematics 9 Online
zarkam21:

Axis of symmetry got cut off

zarkam21:

1 attachment
Vocaloid:

first draw a vertical line that divides the graph into two equal halves

zarkam21:

the line would be in the middle right

Vocaloid:

good, now identify the x-value of that line

zarkam21:

-2.5

zarkam21:

actually 0

Vocaloid:

|dw:1512581077872:dw|

Vocaloid:

|dw:1512581086663:dw|

zarkam21:

oh i accidently put the line on the 0 axis

zarkam21:

from that it would be -1

Vocaloid:

good so the axis of symmetry is x = -1 to find the vertex we simply find the value of the graph at x = - 1

Vocaloid:

|dw:1512581205132:dw|

zarkam21:

-3.5?

zarkam21:

(-1,-3.5)

Vocaloid:

good, that's the vertex

Vocaloid:

to find the intercepts simply find the x-values where y = 0 and the y values where x= 0

Vocaloid:

***actually I believe the vertex is (-1,-4) the axis isn't drawn well

Vocaloid:

since it's 4 spaces below 0

zarkam21:

so (0,0)(1,0)(2,0)(3,0)(-1,0)(-2,0)(-3,0)(-4,0)

Vocaloid:

how are you getting these numbers there are only two x-values where y = 0

Vocaloid:

|dw:1512581576538:dw|

zarkam21:

ohhh where it intercepts duh

zarkam21:

sorry

zarkam21:

(1,0)(-3,0)

Vocaloid:

good, now what is the value of y when x = 0?

zarkam21:

-2.5

zarkam21:

(0,-2.5)

Vocaloid:

I think it's (0,-3) since each space is meant to represent 1 unit

zarkam21:

So there would be three sets of intercepts (1,0)(-3,0)(0,-3)

Vocaloid:

yes

zarkam21:

oh it isn't 2.5

zarkam21:

I thought it was

Vocaloid:

yeah, each space is 1 unit and it's 3 units below y = 0

zarkam21:

Intercepts : (1,0)(-3,0)(0,-3) Vertex: (-1,-4) Axis of symmetry : x=-1

Vocaloid:

well done

Vocaloid:

I need to go to a meeting, be back in a few hours

zarkam21:

Sounds good =)

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