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anonymous
 one year ago
An expression is shown below:
f(x) = –16x2 + 22x + 3
Part A: What are the xintercepts 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)
anonymous
 one year ago
An expression is shown below: f(x) = –16x2 + 22x + 3 Part A: What are the xintercepts 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)

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I can help with Part A only. :( Is that okay or you need some more talented guy to solve all the three for you? :P

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Okay, f(x) or y both are one and same thing, so you have : \(y = 16x^2 + 22x + 3\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0See, to find xintercept, you put y = 0.. And to find yintercept (if someone asks you to), then you put x = 0..

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So, here you need to find xintercept, so you put y = 0, so you have: \(y = 16x^2 + 22x + 3\) \(\implies 0 = 16x^2 + 22x + 3\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0sorta then what would you do

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Then now you have got a quadratic equation to solve, solve for x there..

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0Part B: the vertex is: maximum with negative leading coefficient. minimum with positive leading coefficient. to find the vertex, complete the square.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Actually, xintercept is the point where your graph cuts xaxis, and on xaxis, you have only x values, there y = 0..

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0That is why we put y = 0 to find xintercept.. @SolomonZelman will tell you the next two parts. Just solve the quadratic equation to find x..

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0told part B already....  For part C: Use the xintercepts (you can also use the yintercept which is simple to find  optional) And for \("\)Justify that you can use the answers obtained in Part A and Part B to draw the graph.\("\) it is justified, but your graph of course won't look and be exact as on a graphing calculator.

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0Do you want to tell me right now, if your vertex is maximum or minimum ?
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