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)

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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
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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campbell_st

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Other answers:

can you help??
I am sorry this type of math is not my strong suit.
@misssunshinexxoxo can you help this person with their math?
its okay
Hi
This might help http://www.wolframalpha.com/input/?i=f%28x%29+%3D+%E2%80%9316x2+%2B+22x+%2B+3
well you need to factor the equation start with factoring out the negative... \[f(x) = -(16x^2 - 22x - 3)\] next multiply 16 and - 3 so -48 find the factors of -48 that add to -22 the larger factor is negative its a relatively easy pair to find...
i got −(8x+1)(2x−3)
that's correct so so to find the x-intercepts you need to solve 8x + 1 = 0 and 2x - 3 = 0 what values do you get...?
one minute
-1\8 and 3\2
thats what i got
ok so that's good now part B is it a maximum or minimum...?
you need to look at the sign of the leading coefficient
i have no clue @campbell_st
do you know what the coefficient is?
what is the leading term in the equation..?
-16 ?
so if its positive then you have a minimum, if its negative you have a maximum
oooh
great so which do you have, max or min...?
its both ??
-1\8 is max and and 3\2 in min >??
no if the leading coefficient is negative... do you have a max or min,,, it can't be both
here is the equation \[f(x) = -16x^2 + 22x + 3\] you said the leading coefficient is -16 that's correct... so if its a potive value you have a minimum if its negative you have a maximum so which do you choose
max
great... now the vertex
the easiest way is to find the line of symmetry do you know about that...?
no
|dw:1437335587120:dw|
ookay
ok the standard form of a quadratic is \[0 = ax^2 + bx + c\] the line of symmetry is found using \[x = \frac{-b}{2 \times a}\] in your question you have a = -16 and b = 22 you need to substitute the values into the equation to find x, the line of symmetry
1116
-11\16
nearly x = 11/16 originally it was -22/-32 so you have the x value for the vertex, now substitute that value into the original equation to get the y value in the vertex...
umm
idk
so its \[f(11/16) = -16 \times (11/16)^2 + 22 \times (11/16) + 3\] you need to calculate this value...
idk
i hate this question, its so hard
ok.... I have to go anyway.
okay

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