![portedon6626](/avatars/37228.jpg)
portedon6626
15.01.2021 •
Mathematics
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.
Solved
Show answers
More tips
- F Family and Home How to Keep Your Home Warm: Tips and Tricks...
- D Dating, Love, Relationships Does a Person s Character Depend on the Color of Their Eyes?...
- O Other Childhood Fears: What Many of Us Experienced...
- H Health and Medicine Simple and Effective: How to Get Rid of Cracked Heels...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
- S Style and Beauty Intimate Haircut: The Reasons, Popularity, and Risks...
- A Art and Culture When Will Eurovision 2011 Take Place?...
- S Style and Beauty How to Choose the Perfect Hair Straightener?...
- F Family and Home Why Having Pets at Home is Good for Your Health...
Answers on questions: Mathematics
- M Mathematics Aman is standing near the washington monument. at a 60° angle of elevation from the ground, the man sees the top of the 555-foot monument. which measurements are accurate based...
- S Social Studies A that held up a arugnore at 10:30 at night. and me away. Hts oer broke down In en Isolated area Just outside the unal otty In which the orlme oomrred. The thief walked to the...
- M Mathematics The area of a rectangle is 281.4 meters if the leaf is 15 meters what is the perimeter of the rectangle...
- M Mathematics HELP PLEASE Which of these mappings is a function?...
Ответ:
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.
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
Maximum value can be found by putting minimum value in the given function:
Put x = 3 and solve:
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.
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:
So, minimum value is: -4
Maximum value can be found by putting minimum value in the given function:
Put x = -4 and solve:
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.
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:
So, minimum value is: 8
Maximum value can be found by putting minimum value in the given function:
Put x = 8 and solve:
So, Maximum value is: -4
So, the extreme values is: (8,-4)
Ответ: