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Ronch [10]
2 years ago
12

The graph of y=tan(x) is vertically stretched by a factor of 7, shifted a distance of 12 units to the left, reflected across the

x-axis, and then translated 15 units downward. Write the equation for the curve in its final position.
Mathematics
1 answer:
Mekhanik [1.2K]2 years ago
6 0

Step-by-step explanation:

A transformation(s) of a parent function is

f(x) = a(bx - c) + d

where a is vertical compression/stretched or reflection

B is horinzotnal compression/stretch or reflection

C is horinzontal translation

D is vertical translation.

The parent function is

y =  \tan(x)

First, we stretched this by 7

so we have

y = 7 \tan(x)

We need to shift this 12 units to the left so we have

y = 7 \tan(x + 12)

We need to reflect this across x axis so we get

y =  - 7 \tan(x + 12)

We need to shift this downwards 15 so we get

y =  - 7 \tan(x + 12)  - 15

or because tan is a odd function you could say

7 \tan( - (x + 12) ) - 15

7 \tan( - x  - 12)  - 15

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Answer:

7x

Step-by-step explanation:

4x ( linear function) + 3x ( linear function) = 7x

3 0
2 years ago
Read 2 more answers
_________ are defined as lines that never have one point in common.
barxatty [35]

Answer:

The correct option is option number 4. Parallel lines are defined as lines that never have one point in common.

Step-by-step explanation:

Parallel lines: Parallel lines are the lines that will never cross each other. As they never meet, so they won't have a common point.

On the other hand, the other options are incorrect. This is because,

Perpendicular lines: Perpendicular lines are the lines that make 90 degrees angle with each other.

Skew lines: Skew lines are the lines that are not present on the same plane.

Coplanar lines: Any lines which are known to occur on the same plane are termed as coplanar lines.

4 0
2 years ago
Need help please, thanks!
MakcuM [25]
Given:
1 inch : 18 kilometers

Let us use the ratio and proportion method:

a:b = c:d where ad = bc

0.8 inches is <u>14.4 kilometers</u>

1 : 18 = 0.8 : x
x = 0.8 * 18
x = 14.4 km

1.4 inches is <u>25.2 kilometers</u>

1: 18 = 1.4 : x
x = 18 * 1.4
x = 25.2 km

2.1 inches is <u>37.8 kilometers</u>

1 : 18 = 2.1 : x
x = 18 * 2.1
x = 37.8 km

4 0
2 years ago
The manager of a neighborhood plant nursery measured the height of every tree on the lot. The mean height of the trees was 75 in
zloy xaker [14]

Answer: D. skewed to the right

Step-by-step explanation:

just took it

4 0
2 years ago
Find the h.c.f of
yuradex [85]

The greatest common factor will be (x² – xy + y²).

<h3>Greatest common factor</h3>

This is a value or expression that can divide the given expressions without leaving a remainder.

Given the following expressions

x^3+^3 and x^2 - xy + y^2

Expand x^3+y^3

x^3+y^3 =(x + y)(x² – xy + y²).

Since (x² – xy + y²) is common to both expression, hence the greatest common factor will be (x² – xy + y²).

Learn more on GCF here: brainly.com/question/902408

#SPJ1

3 0
2 years ago
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