Asked by sc
how can I figure out the formula. example. I need to transform the following equation y = x2 + 4 - 8 into vertex form and then I need to state the coordinates of the vertex of the parabola. I forgot how to arrive at the answer
Answers
Answered by
Reiny
I will assume there is a typo and you meant
y = x^2 + 4x - 8
take 1/2 the coefficient of the x term, square it, then add and then subtract it
( 1/2 of 4 is 2 and then squared would be 4)
y = x^2 + 4x + <b>4 - 4 </b> - 8
the first three terms are now a perfect square
y = (x+2)^2 - 12
compare this with
y = a(x-p)^2 + q which has vertex (p,q) and you can conclude that the vertex of
y = (x+2)^2 - 12 is (-2,-12)
y = x^2 + 4x - 8
take 1/2 the coefficient of the x term, square it, then add and then subtract it
( 1/2 of 4 is 2 and then squared would be 4)
y = x^2 + 4x + <b>4 - 4 </b> - 8
the first three terms are now a perfect square
y = (x+2)^2 - 12
compare this with
y = a(x-p)^2 + q which has vertex (p,q) and you can conclude that the vertex of
y = (x+2)^2 - 12 is (-2,-12)
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