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Mathematics 12 Online
OpenStudy (anonymous):

What is the equation of the following graph in vertex form?

OpenStudy (anonymous):

OpenStudy (anonymous):

Courtesy of Texas Instruments

OpenStudy (anonymous):

answers y = (x − 3)2 − 1 y = (x + 3)2 − 1 y = (x − 4)2 − 2 y = (x − 4)2 + 8

OpenStudy (anonymous):

help me please @ganeshie8

OpenStudy (anonymous):

please someone anyone help me

OpenStudy (anonymous):

please anyone help me understand how to do this please

ganeshie8 (ganeshie8):

Look at the graph, what are the coordinates of vertex? |dw:1435159281614:dw|

OpenStudy (anonymous):

did you get it?

OpenStudy (anonymous):

the of the vertex would be ( -3,-1)

ganeshie8 (ganeshie8):

Yes, remember the vertex form of parabola ?

OpenStudy (anonymous):

it's \[y =a \left( x-h \right)+k\]

OpenStudy (anonymous):

yea good job

ganeshie8 (ganeshie8):

\[y =a \left( x-h \right)^2+k\]

ganeshie8 (ganeshie8):

where the vertex is \((h,~k)\)

ganeshie8 (ganeshie8):

plug in the vertex coordinates in above equation

OpenStudy (anonymous):

\[y=a \left( x-\left( -3 \right) \right)^{2}-1\]

ganeshie8 (ganeshie8):

good, which is same as \[y=a \left( x+3\right)^{2}-1\]

ganeshie8 (ganeshie8):

look at the options

OpenStudy (anonymous):

oh it's the second answer right

ganeshie8 (ganeshie8):

Correct! good job!`

OpenStudy (anonymous):

thank you so much you helped alot

ganeshie8 (ganeshie8):

yw!

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