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stodd9503

stodd9503

10.03.2020 •

Mathematics

HELP PLEASE

problems 11 through 17

HELP PLEASE problems 11 through 17

Solved

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Ответ:

ally9704

20.01.2022

Part 11) The vertex is the point (4,32)

Part 12) The vertex is the point (1,-5)

Part 13) The vertex is the point (-2,5)

Part 14) The vertex is the point (-1,-1)

Part 15) The vertex is the point (1,8)

Part 16) The vertex is the point (3,-26)

Part 17) The vertex is the point (-5,-32)

Step-by-step explanation:

Part 11) we have

y=-x^2+8x+16

we know that

The quadratic equation written in vertex form is equal to

y=a(x-h)^2+k

where

a is the leading coefficient

(h,k) is the vertex

Convert to vertex form

y=-x^2+8x+16

Factor -1

y=-(x^2-8x)+16

Complete the square

y=-(x^2-8x+16)+16+16

y=-(x^2-8x+16)+32

Rewrite as perfect squares

y=-(x-4)^2+32

The vertex is the point (4,32)

Part 12) we have

y=3x^2-6x-2

we know that

The quadratic equation written in vertex form is equal to

y=a(x-h)^2+k

where

a is the leading coefficient

(h,k) is the vertex

Convert to vertex form

y=3x^2-6x-2

Factor 3

y=3(x^2-2x)-2

Complete the square

y=3(x^2-2x+1)-2-3

y=3(x^2-2x+1)-5

Rewrite as perfect squares

y=3(x-1)^2-5

The vertex is the point (1,-5)

Part 13) we have

y=-2x^2-8x-3

we know that

The quadratic equation written in vertex form is equal to

y=a(x-h)^2+k

where

a is the leading coefficient

(h,k) is the vertex

Convert to vertex form

y=-2x^2-8x-3

Factor -2

y=-2(x^2+4x)-3

Complete the square

y=-2(x^2+4x+4)-3+8

y=-2(x^2+4x+4)+5

Rewrite as perfect squares

y=-2(x+2)^2+5

The vertex is the point (-2,5)

Part 14) we have

y=2x^2+4x+1

we know that

The quadratic equation written in vertex form is equal to

y=a(x-h)^2+k

where

a is the leading coefficient

(h,k) is the vertex

Convert to vertex form

y=2x^2+4x+1

Factor 2

y=2(x^2+2x)+1

Complete the square

y=2(x^2+2x+1)+1-2

y=2(x^2+2x+1)-1

Rewrite as perfect squares

y=2(x+1)^2-1

The vertex is the point (-1,-1)

Part 15) we have

y=-5x^2+10x+3

we know that

The quadratic equation written in vertex form is equal to

y=a(x-h)^2+k

where

a is the leading coefficient

(h,k) is the vertex

Convert to vertex form

y=-5x^2+10x+3

Factor -5

y=-5(x^2-2x)+3

Complete the square

y=-5(x^2-2x+1)+3+5

y=-5(x^2-2x+1)+8

Rewrite as perfect squares

y=-5(x-1)^2+8

The vertex is the point (1,8)

Part 16) we have

y=3x^2-18x+1

we know that

The quadratic equation written in vertex form is equal to

y=a(x-h)^2+k

where

a is the leading coefficient

(h,k) is the vertex

Convert to vertex form

y=3x^2-18x+1

Factor 3

y=3(x^2-6x)+1

Complete the square

y=3(x^2-6x+9)+1-27

y=3(x^2-6x+9)-26

Rewrite as perfect squares

y=3(x-3)^2-26

The vertex is the point (3,-26)

Part 17) we have

y=x^2+10x-7

we know that

The quadratic equation written in vertex form is equal to

y=a(x-h)^2+k

where

a is the leading coefficient

(h,k) is the vertex

Convert to vertex form

y=x^2+10x-7

Complete the square

y=(x^2+10x+25)-7-25

y=(x^2+10x+25)-32

Rewrite as perfect squares

y=(x+5)^2-32

The vertex is the point (-5,-32)

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Ответ:

zacharyminnick123

02.03.2020

1348 * 2576 is 3,472,448.

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