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Lena [83]
3 years ago
13

Suppose that g(x) = f(x) - 2. Which statement best compares the graph of

Mathematics
1 answer:
k0ka [10]3 years ago
8 0

Answer:

f86

Step-by-step explanation:

f36

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Find the vertex of the parabola formed by the following quadratic function: y = 3x^2 – 6x + 2
storchak [24]
Vertex form is y=a(x-h)^2+k, so we can rearrange to that form...

y=3x^2-6x+2  subtract 2 from both sides

y-2=3x^2-6x  divide both sides by 3

(y-2)/3=x^2-2x, halve the linear coefficient, square it, add it to both sides...in this case:  (-2/2)^2=1 so

(y-2)/3+1=x^2-2x+1  now the right side is a perfect square

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

(y+1)/3=(x-1)^2  multiply both sides by 3

y+1=3(x-1)^2  subtract 1 from both sides

y=3(x-1)^2-1  so the vertex is:

(1, -1)

...

Now if you'd like you can commit to memory the vertex point for any parabola so you don't have to do the calculations like what we did above.  The vertex of any quadratic (parabola), ax^2+bx+c is:

x= -b/(2a),   y= (4ac-b^2)/(4a)

Then you will always be able to do a quick calculation of the vertex :)
7 0
3 years ago
The sum of two polynomials is 8d^5-3c^3d^2+5c^2d^3-4CD^4+9. If one added is 2d^5-c^3d^4+8CD^4+1, what is the other added
insens350 [35]

Answer:

6d^5 - 3c^3d^2 + 5c^2d^3 + c^3d^4 - 12cd^4 + 8

Step-by-step explanation:

We need to subtract the given polynomial from the sum:-

8d^5 - 3c^3d^2 + 5c^2d^3 - 4cd^4 + 9 - (2d^5 - c^3d^4 + 8cd^4 +1 )

We need to distribute the negative over the parentheses:-

= 8d^5 - 3c^3d^2 + 5c^2d^3 - 4cd^4 + 9 - 2d^5 + c^3d^4 - 8cd^4 -1

Bringing like terms together:

= 8d^5 - 2d^5 - 3c^3d^2 + 5c^2d^3  + c^3d^4 - 4cd^4 - 8cd^4 + 9  

- 1

Simplifying like terms

=  6d^5 - 3c^3d^2 + 5c^2d^3 + c^3d^4 - 12cd^4 + 8  


8 0
3 years ago
If a= 2x - 3 and b= 2x+5<br> find the value of a+b <br> help pleaseeee i would really appreciate
Goshia [24]

Answer:

4x+2

Step-by-step explanation:

a= 2x - 3 and b= 2x+5

a+b = 2x-3 + 2x+5

Combine like terms

a+b = 4x+2

6 0
1 year ago
Read 2 more answers
In the isosceles trapezoid below, x = [ ? ]° 5x+15° 7x-11°​
omeli [17]

Answer:

yes

if you solve the equation,

5x+15=7x-11

26=2x

x=26/2=13

Step-by-step explanation:

3 0
3 years ago
Solving quadratic equations using square roots
masya89 [10]

Answer:

i hope you understand this

8 0
2 years ago
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