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inysia [295]
3 years ago
15

Which transformations have been performed on the graph of f(x) =

Formula1" title="\sqrt[3]{x}" alt="\sqrt[3]{x}" align="absmiddle" class="latex-formula"> to obtain the graph g(x) = 1/4\sqrt[3]{x+3} + 6
Select each correct answer.



(A) reflect the graph over the x-axis

(B) compress the graph closer to the x-axis

(C) translate the graph down

(D) translate the graph to the right

(E) translate the graph to the left

(F) translate the graph up

(G) stretch the graph away from the x-axis

Mathematics
1 answer:
Nookie1986 [14]3 years ago
8 0

Answer:

(B) compress the graph closer to the x-axis

(E) translate the graph to the left

(F) translate the graph up

Step-by-step explanation:

When functions are transformed there are a few simple rules:

  • Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
  • Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
  • Multiplying the function by a number less than 1 compresses it towards the x-axis.
  • Multiplying the function by a number greater than 1 stretches it away from the x-axis.

This graph has been multiplied by 1/4 which is less than 1. It will be compressed.

This graph has x added to by 3. It will shift left 3 units.

This graph has the output outside of x added to by 6. It will shift 6 units up. See picture below. The original function is red. The new function is blue.



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How to solve for<br> LN and what are the variables
Lesechka [4]

Answer:

v See below. v

Step-by-step explanation:

LM = MN

11x - 21 = 8x + 15

3x-21=15\\3x=36\\

x = 12

LM = 11(12) - 21 = 132 - 21 = 111

MN = 8(12) + 15 = 96 + 15 = 111

LN = 111 + 111 = 222

3 0
2 years ago
3(x-4)+2(×+1) I need help
Ket [755]

Answer:

Simplify:

5x - 10

3 0
2 years ago
How many diffrent ways can a rectangle be named
11111nata11111 [884]

Answer:

Some other names that we use for rectangles are parallelograms, quadrilaterals, and polygons.

So, 3 different names.

Hope this helps!

7 0
2 years ago
A House needs to some maintenance one sink is dripping water every 10 minutes and the other sink is dripping every 12 minutes if
e-lub [12.9K]

Answer:

60 minutes

Step-by-step explanation:

We solve this question using Lowest Common Factor method

Find and list multiples of each number of minutes( 12 and 10 minutes) until the first common multiple is found. This is the lowest common multiple.

Multiples of 10:

10, 20, 30, 40, 50, 60, 70, 80

Multiples of 12:

12, 24, 36, 48, 60, 72, 84

Therefore,

LCM(10, 12) = 60

The number if minutes until they both drip again is 60 minutes

7 0
3 years ago
What is the slope of a line that contains the points (12,17) and (-8,-17)
professor190 [17]
\frac{y2 - y1}{x2 - x1}
\frac{ - 17 - 17}{ - 8 - 12} = \frac{ - 34}{ - 20} = \frac{17}{10}
Alternative forms:
1 \frac{7}{10} \: or \: 1.7
Slope: 17/10
Equation : y= 17/10x
6 0
3 years ago
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