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3 years ago

Describe the transformation f(x) = 2x + 1 -> g(x) = -8(x + 4) - 1

Mathematics

1 answer:

katrin2010 [14]3 years ago

8 0

f(x) = 2x + 1; Paren graph = x;

The graph was shifted one unit up and stretched 2 times.

g(x) = -8(x+4) - 1 = -8x - 32 - 1 = -8x - 33

The graph was shifted 33 units down and stretched 8 times and flipped 180 degrees.

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Can someone solve this question to me.i will mark brainliest. :)

Alex787 [66]

Answer:

Parent Function: $y=\sqrt{x}$
Horizontal shift: right 3 units
Vertical shift: up 3 units
Reflection about the x-axis: none
Vertical strech: streched

Step-by-step explanation:

assume that $y=\sqrt{x}$ is $f(x)=\sqrt{x}$ and $y=\sqrt{-2x+6}+3$ is

$g(x)=\sqrt{-2x+6}+3\\ f(x)=\sqrt{x} \\g(x)=\sqrt{-2x+6}+3$

The transformation from the first equation to the second equation can be found by finding a,h and k for each equation.

$y=a\sqrt{x-h}+k$

factor a 1 out of the absolute value to make the coefficient of x equal to 1

$y=\sqrt{x}$

factor a 2 out of the absolute value to make the coefficient of x equal to 1

$y=\sqrt{2}\sqrt{x-3}+3$

find a, h and k for $y=\sqrt{2}\sqrt{x-3}+3$

$a=1.41421356\\ h=3\\k=3$

the horizontal shift depends on the value of h when $h > 0$ , the horizontal shift is described as:

$g(x)=f(x+h)$ - the graph is shifted to the left h units

$g(x)=f(x-h)\\$ - the graph is shifted to the right h units

the vertical shift depends on the value of k

5 0

1 year ago

Determine whether $10.62/61lb = $7.05/4lb form a proportion. Explain.

Jlenok [28]

It would be $1.76 for 1 lb, then you would times that by 61 and if it equals 10.62, it is proportional. I multiplied it and got $109.28/ 62 lbs so it can not form a proportion.

5 0

2 years ago

Read 2 more answers

Which fraction is larger than 1/2? 2/3 0r 2/4 or 2/5

nalin [4]

2/3 is the correct answer because it’s bigger then a half

6 0

2 years ago

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the volume of a cone is 120 cubic centimeters. the height of the cone is 4.5 centimeters. determine the radius of a cone

kolbaska11 [484]

<h3> given:</h3>

$v = 120 \: {cm}^{3}$

$h = 4.5 \: cm$

the radius of the cone.

<h3>solution:</h3>

$r = \sqrt{3 \frac{v}{\pi \: h} }$

$r = \sqrt{3 \times \frac{120}{\pi \times 4.5} }$

$r = 5.04627 \: cm$

$r = 5.05 \: cm$

hence, the radius of the given cone is 5.05 centimeters.

7 0

2 years ago

O resultado da. Soma de (-26)com (+5) ?

zalisa [80]

Answer:

(-26) (+5)

=-+= -

it means -26-5

Answer 21

6 0

2 years ago