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Mathematics 23 Online
OpenStudy (anonymous):

who's good at algebra??

OpenStudy (anonymous):

not that good

OpenStudy (anonymous):

did you pass algebra 1?

OpenStudy (anonymous):

yup

OpenStudy (anonymous):

Maybe I can help. What do you need?

OpenStudy (anonymous):

asking me

OpenStudy (anonymous):

ill just post the questions will yall answer them?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

We're supposed to explain how to do them so that you learn. Then you will be able to get the right answers on future tests.

OpenStudy (anonymous):

determine the direction in which this parabola opens y=2x*2-4x+5 up or down

OpenStudy (anonymous):

@jam333 agreeded

OpenStudy (anonymous):

I odnt understand it I just need the answer so I can finish this and pass please

OpenStudy (the_fizicx99):

Look at the end behaviors, The leading coefficient is positive and the degree is even so the parabola is going to open upward.

OpenStudy (anonymous):

koay ask them

OpenStudy (the_fizicx99):

Wait is that y = \(\ 2x^2 - 4x + 5\) ?

OpenStudy (anonymous):

yes

OpenStudy (the_fizicx99):

Then yeah, it's just as I stated above.

OpenStudy (anonymous):

its an quadratic equcation u can factorise it or the formula

OpenStudy (the_fizicx99):

Maybe this will help you http://prntscr.com/37ukw0

OpenStudy (anonymous):

vertex of y=2x*2-4x+5

OpenStudy (anonymous):

For the vertex, normally you would complete the square. Do you know how to do that? It becomes 2(x-1)^2 + 3. This means that the vertex is at (1,3).

OpenStudy (the_fizicx99):

The vertex can be found using \(\ -(\dfrac{b}{2a}) \) 2 is \(\ a\) -4 is \(\ b \) \(\ \sf -(\dfrac{-4}{2(2)}) \longrightarrow -(\dfrac{-4}{4}) = \dfrac{4}{4} = 1\) Now plug in 1 into f(x) = \(\ 2x^2 - 4x + 5\) f(1) = 2(1)^2 - 4(1) + 5 = ?? \(\ \sf \Large ~ Can ~ you~ solve ~ it? \)

OpenStudy (anonymous):

so its (1,3)?

OpenStudy (the_fizicx99):

\(\ \sf \Large -(\dfrac{b}{2a})\) only applies to quadratic which means the degree of the polynomial is 2 (highest degree) @catking Yes the vertex is at (1,3)

OpenStudy (anonymous):

what is the axis of semmitry for that equsion

OpenStudy (anonymous):

Pretend you drew a big bowl on a piece of paper. The axis of symmetry is like folding the paper so that the two sides look like a mirror image of each other. If you folded along the y axis, it would not be correct. You need to fold it up and down through the vertex. So the line x = 1 would be the axis of symmetry.

OpenStudy (anonymous):

I have a lot more questions if your willing to help?

OpenStudy (anonymous):

determin the direction in which the parabola opens y=-2x*28x-15 up or down

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