Mathematics, 30.08.2019 21:00 PompousCoyote

Write the equation of the quadratic function with roots -2 and 4 and a vertex at (1, 9)
algebra 2 !

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Answer from: Winzen07

The equation of a quadratic function with roots -2 and 4 is given by:
(x + 2)(x - 4) = 0
x^2 - 4x + 2x - 8 = 0
x^2 - 2x - 8 = 0
f(x) = x^2 - 2x - 8

Since the vertex is at point (1, 9) which is above the roots. This means that the parabola representing the function is facing down and the leading coeficient is negative.
Therefore the function becomes:
f(x) = -(x^2 - 2x - 8)
f(x) = -x^2 + 2x + 8

Answer from: Quest

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

$4/2 = 2\\7/3.5=2\\8/4=2\\10/5=2$

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

$y=\frac{x}{2}$

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

Answer from: Quest

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is $3\times 8.50=$25.5$

cost of 2 dresses if one cost at $27.50 is $2\times 27.50=$55$

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is $25.5+$55+$17.50=$98

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Write the equation of the quadratic function with roots -2 and 4 and a vertex at (1, 9)
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