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Mathematics 17 Online
OpenStudy (anonymous):

I'm stuck on a question for math. Please help. Not sure where I'm going wrong.

OpenStudy (anonymous):

What is the question? :)

OpenStudy (anonymous):

I am also stuck on the same, as I am not able to see the question.. :P

OpenStudy (anonymous):

f(x) = -16x2 + 22x + 3 Part A: What are the x-intercepts of the graph of the f(x)? Show your work. (2 points) Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points) Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points) This is the question. When I find the x-intercepts I get 3/2 and -1/8. Not sure if this is correct. I also get 11/16 for part of the vertex

OpenStudy (anonymous):

can you do the square method?

OpenStudy (anonymous):

\(x\) intercept we ca find by solving: \(16x^2 - 22x - 3 = 0\)

OpenStudy (anonymous):

Ok, you would have to factor it out, right?

OpenStudy (anonymous):

yes your solutions are right..

OpenStudy (anonymous):

For \(x\) intercept I said..

OpenStudy (anonymous):

\(x = 1.5\) and \(x = -0.125\)

OpenStudy (anonymous):

The same as you have done...

OpenStudy (anonymous):

Ok. Thanks for the reassurance, this is the first time I have gotten a decimal answer. For the vertex you would use \[-b \div 2a\] right?

OpenStudy (anonymous):

Vertex is a point.. The formula you have given is for finding x-coordinate of your vertex..

OpenStudy (anonymous):

Yes. Then you plug that back into the original equation for x and get the y, right?

OpenStudy (anonymous):

and yes 11/16 is x-coordinate of vertex, and now you have to find \(y\)..

OpenStudy (anonymous):

Good... :)

OpenStudy (anonymous):

Ok thanks. I was thrown off by the decimal answers. Thanks for the help :) I got 10.56 (10.5625) for the Y.

OpenStudy (anonymous):

You can write it as : \(\frac{675}{64}\)

OpenStudy (anonymous):

For more information, follow this: http://www.mathportal.org/calculators/quadratic-equation/quadratic-function-grapher.php

OpenStudy (anonymous):

Ok. Thanks again. That was all I needed. The C part was there because I wrote the whole equation.

OpenStudy (anonymous):

And thanks for the link :)

OpenStudy (anonymous):

Fill your equation there, you will get all details.. :)

OpenStudy (anonymous):

Ok thanks again.

OpenStudy (anonymous):

you are welcome dear.. And one more thing remains that I want to tell you.. Wait..

OpenStudy (anonymous):

Ok...

OpenStudy (anonymous):

What is your favorite color?

OpenStudy (anonymous):

Ehh... Probably purple, why?

OpenStudy (anonymous):

\[\huge \color{purple}{\textsf{Welcome To Openstudy } \ddot \smile}\]

OpenStudy (anonymous):

Good Luck, keep practicing.... :)

OpenStudy (anonymous):

Haha thanks. I literally just joined XD.

OpenStudy (anonymous):

I will

OpenStudy (anonymous):

:)

OpenStudy (anonymous):

You must.. :)

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