anonymous
  • anonymous
An expression is shown below: 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)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
I 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
  • anonymous
that's fine
anonymous
  • anonymous
Okay, f(x) or y both are one and same thing, so you have : \(y = -16x^2 + 22x + 3\)

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More answers

anonymous
  • anonymous
See, to find x-intercept, you put y = 0.. And to find y-intercept (if someone asks you to), then you put x = 0..
anonymous
  • anonymous
So, here you need to find x-intercept, so you put y = 0, so you have: \(y = -16x^2 + 22x + 3\) \(\implies 0 = -16x^2 + 22x + 3\)
anonymous
  • anonymous
All good till here?
anonymous
  • anonymous
sorta then what would you do
anonymous
  • anonymous
Then now you have got a quadratic equation to solve, solve for x there..
SolomonZelman
  • SolomonZelman
Part B: the vertex is: maximum with negative leading coefficient. minimum with positive leading coefficient. to find the vertex, complete the square.
anonymous
  • anonymous
Actually, x-intercept is the point where your graph cuts x-axis, and on x-axis, you have only x values, there y = 0..
anonymous
  • anonymous
That is why we put y = 0 to find x-intercept.. @SolomonZelman will tell you the next two parts. Just solve the quadratic equation to find x..
SolomonZelman
  • SolomonZelman
told part B already.... ---------------------------------- For part C: Use the x-intercepts (you can also use the y-intercept 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
  • SolomonZelman
Do you want to tell me right now, if your vertex is maximum or minimum ?
anonymous
  • anonymous
yes please

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