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nikdorinn [45]
3 years ago
14

The graph of g(x)=5x is a transformation of the graph of f(x)=x what is the transformation

Mathematics
1 answer:
frozen [14]3 years ago
7 0

Answer:

Vertical Stretch of 5.

General Formulas and Concepts:

<u>Alg II</u>

Transformations

Parent Graph Transformations: y = ax + b

  • a = vertical shrink/stretch
  • b = vertical movement up/down

Step-by-step explanation:

<u>Step 1: Define equation</u>

Parent Graph: f(x) = x

Transformed Graph: g(x) = 5x

<u>Step 2: Break</u>

We see that we are <em>increasing</em> the slope. Therefore, it will have a <em>steeper</em> slope. That means we are manipulating the <em>a</em> variable and thus have a vertical stretch of a factor of 5.

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Y = 2/3 x -3 y = -3/2 x +2 what statement about the lines are true
Hoochie [10]

Answer:

The product of the slopes of lines is -1.

i.e. m₁ × m₂ = -1

Thus, the lines are perpendicular.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the lines

y = 2/3 x -3       --- Line 1

y = -3/2x +2      --- Line 2

<u>The slope of line 1</u>

y = 2/3 x -3       --- Line 1

By comparing with the slope-intercept form of the line equation

The slope of line 1 is: m₁ = 2/3

<u>The slope of line 2</u>

y = -3/2x +2      --- Line 2

By comparing with the slope-intercept y = mx+b form of the line equation

The slope of line 2 is: m₂ = -3/2

We know that when two lines are perpendicular, the product of their slopes is -1.

Let us check the product of two slopes m₁ and m₂

m₁ × m₂ = (2/3)(-3/2 )

m₁ × m₂ = -1

Thus, the product of the slopes of lines is -1.

i.e. m₁ × m₂ = -1

Thus, the lines are perpendicular.

7 0
3 years ago
Expand and simplify 10-3(3x-2)​
JulijaS [17]

Answer:

−9+16

Step-by-step explanation:

1. 10−3(3−2)

10−9+6

2. Add the numbers

3. Rearrange terms

3 0
3 years ago
Halp?
____ [38]

The formula for finding the volume of a rectangular prism (the cargo area of the truck is the shape of a rectangle in 3D; a rectangular prism) is V = (l)(w)(h); where <em>l</em> = length, <em>w</em> = width, and <em>h</em> = height.

First, substitute the known values into the equation:

l = 8.5

w = 6

h = 10.5

V = (8.5)(6)(10.5)

<em>(Note: .5 = 1/2)</em>

Now, all we need to do is simplify:

V = 535.5 ft³ OR 535 1/2 ft³

<em>(Note: ft</em><em>³</em><em> is the condensed form of cubic feet)</em>

You can pick whichever form your test directs you to use. They are both the same value though.

Hope this helps!

7 0
3 years ago
Vertex of -2 (x - 3)^2 - 2
marin [14]

Answer:

The vertex is (-3,-2)

Step-by-step explanation:

We can write the equation for a parabola in the form

y = a(x-h)^2 +k  where (h,k) is the vertex

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

h = -3 and k =-2

The vertex is (-3,-2)

3 0
3 years ago
If a sausage-making machine produces 3,000 sausages in h hours, how many sausages can it produce in m minutes?
Vesnalui [34]
3000 s........h hours
3000/h.........1 hour
3000/60h.......1 minute
3000*m/60h....m minutes
4 0
3 years ago
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