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olga2289 [7]
2 years ago
11

If the parent function is \root(3)(x), describe the translation of the function y=\root(3)(x+4)-3

Mathematics
1 answer:
xeze [42]2 years ago
7 0

The parent function moves 4 units right and 3 units down. This is a translation by the vector.

According to the question,

Transformation \sqrt[3]{x} maps  onto \sqrt[3]{x+4} -3 . Take f(x) =  \sqrt[3]{x} and f(x+4)=\sqrt[3]{x+4}.

f(x) =  \sqrt[3]{x}

f(x+4)=\sqrt[3]{x+4}

f(x+4) - 3=\sqrt[3]{x+4} - 3

Analyze the function to see the translations. f(x-4) corresponds to a horizontal translation 4 units in the positive 'x' direction. f(x)-3 corresponds to a vertical translation 3 units in the negative 'y' direction.

Hence, the parent function moves 4 units right and 3 units down. This is a translation by the vector.

Learn more about parent function here

brainly.com/question/7154028

#SPJ4

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Solve the equation and find what X is. 9x-7=10
Marysya12 [62]

Answer:

x = 1 8/9 or 17/9

Step-by-step explanation:

Step 1: Add 7 to both sides.

  • 9x - 7 + 7 = 10 + 7
  • 9x = 17

Step 2: Divide both sides by 9.

  • \frac{9x}{9} = \frac{17}{9}  
  • x = \frac{17}{9} = 1 \frac{8}{9}

6 0
3 years ago
What is the product?
aleksley [76]

Answer:

The first one

Step-by-step explanation:

8 0
3 years ago
Please help me with this question URGENT PLEASE ANSWER THIS MATH QUESTION
lesya [120]

Answer:

(4,0)

Step-by-step explanation:

The object is first at (0,0)

It is reflected across line x=-2, this means you draw the mirror line at x=-2 and count 2 equal units backwards to get the image.The image will be at ;y=0\\\\x=-2-2=-4\\\\\\=(-4,0)

The image (-4,0) is then reflected on the y-axis

You know reflection on the y-axis, the y-coordinate remains the same but the x-coordinate is changed to its opposite sign.

Hence;

(- -4,0)= (4,0)

The image will move 8 units towards positive x-axis.This is the same as moving 4 units from the mirror line at (0,0) and land at (4,0)

6 0
3 years ago
A cylindral drill with radius 5 cm is used to bore a hole through the center of a sphere with radius 9 cm. Find the volume of th
masya89 [10]

The volume of the ring-shaped remaining solid is <u>1797 cm³</u>.

The volume is the total space occupied by an object.

The volume of a sphere of radius r units is given as (4/3)πr³.

The volume of a cylinder with radius r units and height h units is given as πr²h.

In the question, we are asked to find the volume of the remaining solid when a sphere of radius 9cm is drilled by a cylindrical driller of radius 5cm.

The volume will be equal to the difference in the volumes of the sphere and cylinder, where the height of the cylinder will be taken as the diameter of the sphere (two times radius = 2*9 = 18) as it is drilled through the center.

Therefore, the volume of the ring-shaped remaining solid is given as,

= (4/3)π(9)³ - π(5)²(18) cm³,

= π{972 - 400} cm³,

= 572π cm³,

= 1796.99 cm³ ≈ 1797 cm³.

Therefore, the volume of the ring-shaped remaining solid is <u>1797 cm³</u>.

Learn more about volumes of solids at

brainly.com/question/14565712

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3 0
1 year ago
Consider the graph that represents the following quadratic equation y=-1/3(x+2)^2+5
makkiz [27]
We have that
<span>y=-1/3(x+2)</span>²<span>+5

using a graph tool
see the attached figure

we know that
1) the graph open downward
2) the vertex of the graphic is the point (-2,5)
3) the axis of symmetry of the graph is x=-2
4) the x intercept values are (-5.873,0)  and (1.873,0)
5) the y intercept value is (0,3.667)
</span><span>
</span>

7 0
3 years ago
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