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Lady_Fox [76]
3 years ago
14

1. If a function f(x) is shifted to the left one unit, what function represents the transformation?

Mathematics
2 answers:
Vaselesa [24]3 years ago
3 0
<span><u><em>The correct answers are: </em></u>
1) A;
2) A;
4) D 
3 cannot be done because the graph is not shown.

<u><em>Explanation:</em></u><span><u><em> </em></u>
1) Shifting a graph to the left, we would normally think of subtracting 1 from the function. However, horizontal translations are the opposite; left means adding 1 to x, while right means subtracting 1 from x.

2) A reflection in the x-axis means the y-coordinate will be negated (the opposite sign). This means that g(x)=-f(x)=-(x^2+5=-x^2-5.

4) To perform a vertical stretch of a function, we multiply by the factor; this gives us y=6x.</span></span>
Vesna [10]3 years ago
3 0

1. If a function f(x) is shifted To the left one unit, what function represents the transformation?

A. F(x+1)

Shifting a graph to the left, we would normally think of subtracting 1 from the function. However, horizontal translations are the opposite; left means adding 1 to x, while right means subtracting 1 from x.

2. Let g(x) be the reflection of f(x)=x^2+5 in the X-axis. What is a function rule for g(x)?

A. G(x)=-x^2-5



A reflection in the x-axis means the y-coordinate will be negated (the opposite sign). This means that g(x)=-f(x)=-(x^2+5=-x^2-5.

3.what transformations change the graph of F(x) to the graph of g(x)? F(x)=-7x^2 g(x)=-35x^2+5

D. The graph of g(x) is the graph of f(x) stretched vertically by a factor of 5 and translated up 5 units.

The picture is the work.

4. Write an inequality for the following transformation of y=x: a vertical stretch by a factor of 6.

A. Y=6x

If you draw both  lines, you will see that the new one, y = 6x, looks like the original line y = x, was streched up-down. That is because for the same value of x, for the new line, y = 6x, the value of y-coordinated is higher if x is positive or lower if x is negative than for the  original line y =x.

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Write an equation for each linear function described. Show your work. The graph of the function passes through the point (2,1),
svp [43]

Step-by-step explanation:

As

  • The graph of the function passes through the point (2,1), and
  • y increases by 4 when x increases by 1.

so

x             y

2             1

3             5

4             9

5             13

6             17

and so on

From the table:

\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(2,\:1\right),\:\left(x_2,\:y_2\right)=\left(3,\:5\right)

m=\frac{5-1}{3-2}

m=4

As the slope-intercept form of the line is

y=mx+b

putting m=4 and any point, let say (2, 1) to find y-intercept 'b'.

1=\left(4\right)2+b

8+b=1

8+b-8=1-8

b=-7

So putting b=-7 and m=4  in the slope-intercept form of the line

y=\left(4\right)x+\left(-7\right)

y=4x-7

Therefore, the equation for the linear function will be:

y=4x-7

8 0
2 years ago
Hi, can someone help me with this word problem... i struggle with word problems and can seem to figure this one out!
Kruka [31]
15) 1,054,850

16)5,226
(Sorry for my sloppy work but I used these steps to solve it)

3 0
3 years ago
2z-18-4z=-8 what is the value of z
zmey [24]

The z is 5

−2⋅<em>z</em>=−8+18

-

2

⋅

z

=

-

8

+

18

Simplify :

−2⋅<em>z</em>=10

-

2

⋅

z

=

10

Dividing by the variable coefficient :

<em>z</em>=−

10

2

z

=

-

10

2

Simplify :

<em>z</em>=−5

z

=

-

5

The solution of equation

2⋅<em>z</em>−18−4⋅<em>z</em>=−8

2

⋅

z

-

18

-

4

⋅

z

=

-

8

is

[−5]

7 0
3 years ago
The formula for finding the volume of a cone is V = 13πr2h. The volume of a cone is 300 cm3 and the height of the cone is 10 cm.
Kryger [21]
I think it would be B) 5cm
4 0
2 years ago
Help plz i’ll give extra points : )
Anni [7]

Answer:

y = 6/5x - 24/5

Step-by-step explanation:

The two points we are given are (4, 0) and (9, 6). First, find the slope.

m = 6 - 0/9 - 4 = 6/5

Next, insert the values into the point-slope form formula. I'll use (4, 0) as the coordinates.

y - 0 = 6/5(x - 4)

y = 6/5x - 24/5

5 0
2 years ago
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