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pshichka [43]
3 years ago
14

a quadratic function has been translated 5 units up and 7 units left and it is vertically stretched by a factor of 2​

Mathematics
1 answer:
Vladimir79 [104]3 years ago
5 0

Answer:

2( {x + 7})^{2}  + 5

Step-by-step explanation:

Our Standard form for each of these transformations is

a( {x + h)}^{2}  + k

Insert each value into the appropriate.

K is for vertical movement

h is for horizontal

a is for stretching/compression

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Equations must be written in the following format (using the number 20 as an example): Addition x + 20 = y; Subtraction x - 20 =
inn [45]

Answer:

In the graph we can find two points, lets select:

(2, 15) and (4, 30)

Those are the first two points.

Now, for two pairs (x1, y1) (x2, y2)

The slope of the linear equation y = s*x + b that passes trough those points is:

s = (y2 - y1)/(x2 - x1)

So the slope for our equation is

s = (30 - 15)/(4 - 2) = 15/2

then our linear equation is

y = (15/2)*x + b

now we can find b by imposing that when x = 2, y must be 15 (for the first point we selected)

15 = (15/2)*2 + b = 15 + b

b = 15 - 15 = 0

then our equation is:

y = (15/2)*x

Where we used a division and a multiplication.

4 0
2 years ago
A cylinder shaped container has a radius of 25 centimeters and a height of 100 centimeters. A glass sphere with a radius of 10 c
aivan3 [116]

Answer:

192.063 cm

Step-by-step explanation:

6 0
2 years ago
Can someone please be generous and help me
Ugo [173]

Answer:

The point slope form is y-y_{1} =m(x-x_{1} )

The slope(m) can be calculated using \frac{y-y_{1} }{x-x_{1}}:

(x, y)=(4,-3)\\(x_{1} ,y_{1} )=(5,0)\\\\\frac{0-(-3)}{5-4} =\frac{0+3}{1} =\frac{3}{1} =3

Using Point One, the point-slope form is determined as:

y-(-3)=3(x-4)\\y+3=3(x-4)

The y-intercept(b) can be calculated as:

(5,0)\\y=3x+b\\0=3(5)+b\\0=15+b\\b=-15\\(0,-15)

7 0
3 years ago
The diagram represents 6x^2-7x+2with the factor of 2x-1. What is the factor of 6 x^2-7x+2
Maksim231197 [3]

Answer:

(6x²-7x+2)/2x-1

(2x-1)(3x-2)/2x-1

=

<h2>3x-2</h2>
5 0
3 years ago
Read 2 more answers
What the meaning of the acronym lcm​
Korvikt [17]

Answer:

Least Common Multiple

5 0
3 years ago
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