creighton
Parabola question Please help



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MilaCoolNess
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whats the question

creighton
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what is the discriminate of this equation: y=4(x3)^2+8

creighton
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hears the graph

zainulafaq
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the discriminant is 2128 do you want me to explain it as well?

Avva
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you can simply calculate the discriminate \[b^{2}  4ac\] by putting the equation in the form \[y=ax^{2} + bx +c\]

creighton
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Please explain
Sorry had bad internet

Avva
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@zainulafaq is it 2128 or 128 ?

creighton
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does the B and C stand as coordinates

zainulafaq
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firstly expand the equation to standard for i.e \[a x^{2} +bx +c\] which in this case is \[4x^2 +24x 28\]

zainulafaq
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a, b, c are coefficients of \[x^2 , x \] and constant respectively in the expanded form . .

Avva
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no they are not coordinates it tells u the nature of the roots whether they are real or imaginary

creighton
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k I got it so far
Do we solve for x?

zainulafaq
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then use the formula for discriminant as @Avva has suggested to find value of discriminant
a=4, b24, c= 28

creighton
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??

zainulafaq
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No if the question asks for discriminant you just have to tell the numerical value of \[[b^2  4ac] \]

creighton
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k so if we plug in the numbers
24^24(4)(28)

creighton
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right?

zainulafaq
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exactly thats perfect

creighton
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and we simplify to get our answer right

creighton
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@zainulafaq so is it 130 and my work is shown below @zainulafq
24^24(4)(28)
576+16(28)
576448=130

zainulafaq
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all of it is excellent except for last step . . 576448 = 128 not 130 . . .

creighton
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whoops so 128 is my answer

zainulafaq
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yup now its fine :)

creighton
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thanks

zainulafaq
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welcome :)