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jenyasd209 [6]
3 years ago
5

What is the equation of y=x^3 with the given transformations? Vertical stretch by a factor of 3, horizontal shift 4 units to the

right, vertical shift 3 units down
Mathematics
2 answers:
Arte-miy333 [17]3 years ago
8 0
Y=3x^3(x-4)-3
y=a......(x-k)-c
GuDViN [60]3 years ago
8 0

Answer:

y=(1/3)(x^3+4)+3

Step-by-step explanation:

y=x^3

Anything vertical affects the y, anything horizontal affects the x.

Vertical stretch:

3y=x^3

Horizontal shift 4 to the right:

3y=x^3+4

Vertical shift 3 down:

3y-3=x^3+4

Get y isolated.

3y=(x^3+4)+3

y=(1/3)(x^3+4)+3

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G(x) = 13.2x³ + 3x4 -x-4.4
Kisachek [45]

The given polynomial has a degree of 4, the leading coefficient is 3, and the constant is 4.4.

<h3>What is a polynomial?</h3>

A polynomial is an algebraic expression with terms that are the combination of variables, coefficients, and constants.

  • The highest power of the variable is said to be the degree of the polynomial.
  • The coefficient of the highest power variable is said to be the leading coefficient.

<h3>Calculation:</h3>

The given polynomial is

g(x) = 13.2x³ + 3x⁴ - x - 4.4

The highest power of the variable x is 4. So, the degree of the variable is 4.

Then, the leading coefficient is 3.

The constant on the given polynomial is 4.4.

Learn more about polynomials here:

brainly.com/question/1600696

#SPJ9

Disclaimer: The given question on the portal was incomplete. Here is the complete question.

Question: For the given polynomial, identify the degree, leading coefficient, and the constant value.

g(x) = 13.2x³ + 3x⁴ - x - 4.4

3 0
2 years ago
I need help!!! Can you figure this out?
Aneli [31]

Answer:

128 degrees

Step-by-step explanation:

38+90=128

5 0
3 years ago
3. A boat is travelling from Point C toward Point D, which is on the shoreline.
Firlakuza [10]

Answer:

Yes, lines CD & AB are perpendicular

Step-by-step explanation:

AB slope: y = -12/8x + 7

CD slope: y = 6/9x - 6

Once the slopes are simplified:

AB: -3/2

CD: 2/3

Hope this helps!

3 0
3 years ago
A rectangle has a perimeter of 116 centimeters and a length of 26 centimeters. What is the width of the rectangle?
Andre45 [30]
26+26=52 which is the side lengths.
116-52=64 which is the other side lengths together. So one side length 32. 32+32+26+26=116
8 0
3 years ago
Read 2 more answers
Points J, K and L are collinear with J between L and K. If KJ = 2x-3, LJ= 4x-8, solve for x:
notsponge [240]

Your question is incomplete, here is the complete form.

Points J, K and L are collinear with J between L and K.  If KJ = 2x - 3, LK = 9x + 7 and LJ = 4x - 8,  solve for x:

Answer:

The value of x is -6 ⇒ B

Step-by-step explanation:

∵ J, K, and L are collinear

→ That means they form a straight segment

∵ J is between K and L

→ That means J divides LK into two segments KJ and LJ

∴ LK = KJ + LJ

∵ LK = 9x + 7

∵ KJ = 2x - 3

∵ LJ = 4x - 8

→ Substitute them in the equation above

∴ 9x + 7 = (2x - 3) + (4x - 8)

→ Add the like terms in the right side

∵ 9x + 7 = (2x + 4x) + (-3 - 8)

∴ 9x + 7 = 6x + -11

∴ 9x + 7 = 6x - 11

→ Subtract 7 from both sides

∵ 9x + 7 - 7 = 6x - 11 - 7

∴ 9x = 6x - 18

→ Subtract 6x from both sides

∵ 9x - 6x = 6x - 6x - 18

∴ 3x = -18

→ Divide both sides by 3

∵ \frac{3x}{3}=\frac{-18}{3}

∴ x = -6

∴ The value of x is -6

8 0
3 years ago
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