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Scorpion4ik [409]
3 years ago
7

Describe how to transform the graph of f(x) = x² to obtain

Mathematics
1 answer:
lord [1]3 years ago
4 0

Answer:

The functions given are:

f(x) = x²

g(x) = f(-4x-3) + 1

First, find f(-4x-3):

f(x) = x²

f(-4x-3) = (-4x-3)²

Find g(x):

g(x) = f(-4x-3) + 1

g(x) = (-4x-3)² + 1

g(x) = (-1)² (4x+3)² + 1

g(x) = (4x+3)² + 1

First take

y = (x)²

Compress the graph along x axis by multiplying x with 4

y = (4x)²

Shift the graph left by 0.75 units, by adding 3 to x term.

y = (4x+3)²

Shift the graph up by 1 unit by adding 1 to the total terms.

y = (4x+3)² +1

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Convert the decimal 0.8034 to a fraction and classify it as either rational or irrational.
Llana [10]

Answer:

Fractional form of 0.8034  =\frac{4017}{5000}

Since 4017 and 5000 are whole numbers this fraction is rational.

Step-by-step explanation:

We have 0.8034=\frac{8034}{10000} =\frac{4017}{5000}

Fractional form of 0.8034  =\frac{4017}{5000}

Since 4017 and 5000 are whole numbers this fraction is rational.

7 0
3 years ago
Find the area simplify your answer
Alex787 [66]

Answer:

6x^2-8x-64

Step-by-step explanation:

the answer for solving a quadrilateral

is base times height

so the base is 2x-8 and the height is 3x+8

(2x-8)(3x+8)

expand

6x^2-8x-64

Hope that helps :)

Please give brainliest

3 0
3 years ago
It takes a boat going upstream 5 hours to cover the same distance, as it would cover in 3 hours going downstream. What is the sp
Vaselesa [24]

Answer: 15 kilometers per hour

Step-by-step explanation:

8 0
3 years ago
21:28 = :24<br><br>plz help....​
gavmur [86]

Answer:

x=18

Step-by-step explanation:

21:28=x:24

1. rewrite: 21/28 = x/24

2. simplify: 3/4=x/24

3. multiply 24 to both sides: x=18

4 0
3 years ago
Find the area of the shaded region (in the photo and step by step response please)
irina1246 [14]

Step-by-step explanation:

Area of shaded =Area of Outer rectangle - Area of Inner rectangle.

Area of inner rectangle = L× B.

L=18

B=11

Area of inner rectangle = 18×11

=198m^2

To find the full breadth of the outer rectangle

=2 in +11 + 2 in

=15

To find the full length of the outer rectangle

=2 in + 18 + 2 in

=22

Area= 22 × 15

Area = 330m^2

Area of shaded portion = 330 - 198

=132m^2

3 0
3 years ago
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