I need help asap!!!! medals for best answers!1 Create a quadratic equation in standard form that can be factored.
a.)Write your equation in standard form. Use complete sentences to explain the benefits of writing your equation in standard form. b.Write your equation in factored form. Use complete sentences to explain the benefits of writing your equation in factored form. c.Write your equation in vertex form. Use complete sentences to explain the benefits of writing your equation in vertex form. Explain how all three forms can be used together to help you graph a quadratic function. Graph your function and label the y-intercept,
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where are you stuck at?
part a lol
\[ax^2+bx+c=0 \] is the form where quadratic equation in standard form looks likes where a, b , c are constant.
can you think of numbers for a, b , and c that could be factored
2,4 and 6?
you can not factor that, now can you?
I don't really know im really bad at math :/
do you know what factoring is?
one of two or more numbers, algebraic expressions when multiplied together produce a product?
@helpme1.2
okay.. but do you actually know how to factor out quadratic equation?
nope
sooo where do we go from here?
i'll create numbers for a,b, and c, that could be factored a = 1 b = 4 c = 3 so the equation would look like \[x^2+4x+3 = 0 \] that would be the quadratic equation in standard form
for factoring, i suggest you visit, http://www.mathsisfun.com/algebra/factoring-quadratics.html to learn more about it, and try to factor \[x^2 + 4x+3 = 0\]
c, it says, you need to write it in vertex form and if you don't know what a vertex form looks like or how to get to vertex form from quadratic equation, then you should visits http://www.purplemath.com/modules/sqrvertx.htm to have more understanding
and d?
when you factor it out you would find 2 x values use them as x axis point, for y axis, they would be just zero, and connect the point on the graph you can use this, to check your graphing http://my.hrw.com/math06_07/nsmedia/tools/Graph_Calculator/graphCalc.html
for part b would the answer be (x+3) (x+1)?
@helpme1.2
yes
I know what a vertex form looks like but I don't know how to actually get to it, I looked over that page but it didn't really help
so we have \[x^2 + 4x + 3 \]take half of b val which is 4, and square it and add it to it, then subtract it to 3 \[(x^2 + 4x + 2^2) + 3- 2^2 \] \[(x^2 +4x+4) +3-4 \]then you would have a perfect square \[(x+2)^2 - 1 \]--> vertex form
thanks :) I really appreciate your help
No problem
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