Mathematics, 15.01.2021 14:00 67bryant

Drag each equation and coordinate to the correct location on the table. Not all equations or coordinates will be used. In the table below, quadratic equations are given in standard form. Rewrite each equation in the form that reveals the maximum or minimum value, and then identify the coordinate point of that extreme value.

Drag each equation and coordinate to the correct location on the table. Not all equations or coordi

Answers: 2

Show answers

Answers

Answer from: savyblue1724707

Standard Form Equivalent Form Extreme Values

y=x^2-6x+17 (x-3)^2+8 (3,8)

y=x^2+8x+21 (x+4)^2+5 (-4,5)

y=x^2-16x+60 (x-8)^2-4 (8,-4)

Step-by-step explanation:

1) Standard form:

y=x^2-6x+17

Equivalent Form:

Can be found using completing the square method.

$y=x^2-6x+17\\y=x^2-2(x)(3)+(3)^2-(3)^2+17\\y=(x-3)^2-9+17\\y=(x-3)^2+8$

So, Equivalent form is: (x-3)^2+8

Extreme value:

Extreme values are basically the minimum and maximum value of the function.

Minimum Value will be found by finding derivative of the function:

The derivate is: 2x-6

Now, put the derivate equal to zero: 2x-6 = 0

$2x=6\\x=6/3 \\x=3$

Maximum value can be found by putting minimum value in the given function:

Put x = 3 and solve:

$(3)^2-6(3)+17\\9-18+17\\9-1\\=8\\$

So, the extreme values is: (3,8)

2) Standard form:

y=x^2+8x+21

Equivalent Form:

Can be found using completing the square method.

$y=x^2+8x+21\\y=x^2+2(x)(4)+(4)^2-(4)^2+21\\y=(x+4)^2-16+21\\y=(x+4)^2+5$

So, Equivalent form is: (x+4)^2+5

Extreme value:

Extreme values are basically the minimum and maximum value of the function.

Minimum Value will be found by finding derivative of the function:

The derivate of x^2+8x+21 is: 2x+8

Now, put the derivate equal to zero:

$2x+8 = 0\\2x=-8\\x=-8/2 \\x=-4$

So, minimum value is: -4

Maximum value can be found by putting minimum value in the given function:

Put x = -4 and solve:

$x^2+8x+21\\=(-4)^2+8(-4)+21\\=16-32+21\\=5$

So, Maximum value is: 5

So, the extreme values is: (-4,5)

3) Standard form:

y=x^2-16x+60

Equivalent Form:

Can be found using completing the square method.

$y=x^2-16x+60\\y=x^2-2(x)(8)+(8)^2-(8)^2+60\\y=(x-8)^2-64+60\\y=(x-8)^2-4$

So, Equivalent form is: (x-8)^2-4

Extreme value:

Extreme values are basically the minimum and maximum value of the function.

Minimum Value will be found by finding derivative of the function:

The derivate of x^2-16x+60 is: 2x-16

Now, put the derivate equal to zero:

$2x-16 = 0\\2x=16\\x=16/2 \\x=8$

So, minimum value is: 8

Maximum value can be found by putting minimum value in the given function:

Put x = 8 and solve:

$x^2-16x+60\\=(8)^2-16(8)+60\\=64-128+60\\=-4$

So, Maximum value is: -4

So, the extreme values is: (8,-4)

Answer from: Quest

The answer of the above is

Answer from: Quest

the answer is c hope it

step-by-step explanation:

Another question on Mathematics

Mathematics, 20.06.2019 18:04

Given that (x-3) is a factor of f(x)=x^3+ax^2-x-6, find a and hence the number of real roots or the equation f(x)=0

Answers: 3

Answer

Mathematics, 21.06.2019 19:30

Ascientist wants to use a model to present the results of his detailed scientific investigation. why would a model be useful? a )because the model makes the concepts easier to understand b) because the model is easy to put together and to use c) because the model prevents other scientists from asking questions d) because the model requires the audience to pay full attention to it i don't know what to choose because between a and d a is much more likely than d because it only wants to get the attention of the audience. i'm confuse.

Answers: 1

Answer

Mathematics, 21.06.2019 21:00

Select the correct answer from each drop-down menu. a system of equations and its solution are given below. system a complete the sentences to explain what steps were followed to obtain the system of equations below. system b to get system b, the equation in system a was replaced by the sum of that equation and times the equation. the solution to system b the same as the solution to system a.]

Answers: 1

Answer

Mathematics, 21.06.2019 21:10

Hey free points ! people i have a few math questions on my profile consider looking at them i have to get done in 30 mins!

Answers: 1

Answer

You know the right answer?

Drag each equation and coordinate to the correct location on the table. Not all equations or coordin...

Questions