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sineoko [7]
3 years ago
10

Identify the vertex of y = x2 + 4x + 5.

Mathematics
2 answers:
dybincka [34]3 years ago
7 0

Answer:

-2,1

Step-by-step explanation:

Plug into  y = x^2 + 4x + 5 calculator in y equals and then press second (blue button) graph (table/f5). Scroll down the chart until you see the middle of a pattern. You will see

5

2

1

2

5

In the middle of the pattern you will find the y-coordinate, and if you look a little to the left, you will also see the x coordinate. Hope this helps!

Xelga [282]3 years ago
4 0
ANSWER

The vertex is (-2,1)

EXPLANATION

We want to find the vertex of

y = {x}^{2} + 4x + 5

We complete the square to obtain,

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

The first three terms forms a perfect square trinomial.

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

The vertex form is

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


This equation is in the form;

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


where (h,k)=(-2,1) is the vertex.
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Step-by-step explanation:

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» A group of 6 friends buy a video game that costs $60. They each
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Step-by-step explanation:

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<img src="https://tex.z-dn.net/?f=6%20%5Cfrac%7B1%7D%7B8%7D%20%20%5Cdiv%20%20%5Cfrac%7B1%7D%7B3%7D%20" id="TexFormula1" title="6
lawyer [7]

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3 years ago
Find the solutions to 2x^5-5x^3-3x=0. What are the x-intercepts of the graph of the function f(x)=2x^5-5x^3-3x?
Olegator [25]

Answer:

Solution

roots: ((-\sqrt{3} )   (0,0)   (\sqrt{3})

domain X∈3

vertical intercept (0,0)

x = {0, -1.732050808, 1.732050808}  

Please, find attached images equation graphs

Step-by-step explanation:

Simplifying

2x5 + -5x3 + -3x = 0

Reorder the terms:

-3x + -5x3 + 2x5 = 0

Solving

-3x + -5x3 + 2x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.

x(-3 + -5x2 + 2x4) = 0

Factor a trinomial.

x((-1 + -2x2)(3 + -1x2)) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve:

Simplifying

x = 0

Solving

x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying

x = 0

Subproblem 2

Set the factor '(-1 + -2x2)' equal to zero and attempt to solve:

Simplifying

-1 + -2x2 = 0

Solving

-1 + -2x2 = 0

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.

-1 + 1 + -2x2 = 0 + 1

Combine like terms: -1 + 1 = 0

0 + -2x2 = 0 + 1

-2x2 = 0 + 1

Combine like terms: 0 + 1 = 1

-2x2 = 1

Divide each side by '-2'.

x2 = -0.5

Simplifying

x2 = -0.5

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(3 + -1x2)' equal to zero and attempt to solve:

Simplifying

3 + -1x2 = 0

Solving

3 + -1x2 = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + -1x2 = 0 + -3

Combine like terms: 3 + -3 = 0

0 + -1x2 = 0 + -3

-1x2 = 0 + -3

Combine like terms: 0 + -3 = -3

-1x2 = -3

Divide each side by '-1'.

x2 = 3

Simplifying

x2 = 3

Take the square root of each side:

x = {-1.732050808, 1.732050808}

Solution

x = {0, -1.732050808, 1.732050808}

3 0
3 years ago
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liraira [26]

Answer:

that's my answer

Step-by-step explanation:

i hope it helps

5 0
3 years ago
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