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Studentka2010 [4]
3 years ago
7

If f(x) = |x| and g(x) = |x| − 4, which translation is applied to f(x) to get g(x)? A. a vertical translation of f(x) four units

upward B. a horizontal translation of f(x) four units to the left C. a horizontal translation of f(x) four units to the right D. a vertical translation of f(x) four units downward
Mathematics
1 answer:
Sav [38]3 years ago
3 0

Hey there! :)

Answer:

D. A vertical translation of f(x) four units downward.

Step-by-step explanation:

Recall that the transformations form of an absolute value function is:

f(x) = ±a|b(x-h)|+k

Where 'a' is a vertical stretch/compression

'b' is a horizontal stretch/compression

'h' is a horizontal shift

'k' is a vertical shift

In g(x) = |x| -4, we can derive a k value of -4.

This means that from f(x) to g(x), there has been a vertical translation of f(x) four units downward.

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Hey can some one help me with this
Leno4ka [110]
Hello!

First you have to find the surface area of what he is painting

Finding the areas of all the rectangles he is painting

14 * 8 = 112
14 * 8 = 112
12 * 8 = 96
12 * 8 = 96
12 * 14 = 168

Add all these up

112 + 112 + 96 + 96 + 168 = 584

Divide this by the amount of area a pint of paint covers

584 / 90 = 6.4888...

He needs 7 pints of paint because he needs more than 6

Multiply this by the cost of 1 pint of pint

7 * 7.98 = 55.86

The answer is $55.86

Hope this helps!
3 0
3 years ago
Read 2 more answers
A beach ball a radius 15 centimeters what is the volume of the beach ball?
sladkih [1.3K]

Answer:

volume = 4/3 (pi x r^3)

Volume = 4/3 (pi x 15^3)

Volume = 4/3 (3.14 x 3375)

Volume = 14130 cubic cm

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Part A Assume the ball passes through the points ( 3 , 8 ) , ( 5 , 20 3 ) , and ( 6 , 5 ) . Use this data to set up a system of
Zepler [3.9K]

The three system of equations are 9a + 3b + c = 8, 75a + 15b + 3c = 20, and 36a + 6b + c = 5.

<h3>What is a solution to a system of equations? (SOLUTION GRAPHICALLY)</h3>

For a solution to be the solution to a system, it must satisfy all the equations of that system, and like all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at a single point(as we need a common point, which is going to be the intersection of course)(this can be one or many, or sometimes none).

The general equation of parabola is given as,

y = ax² + bx + c

The first point is (3,8), therefore, we can write,

8 = a(3)² + b(3) + c

9a + 3b + c = 8

The second point is (5, 20/3), therefore, we can write,

20/3 = a(5)² + b(5) + c

75a + 15b + 3c = 20

The third point is (6, 5), therefore, we can write,

5 = a(6)² + b(6) + c

36a + 6b + c = 5

Hence, the three system of equations are 9a + 3b + c = 8, 75a + 15b + 3c = 20, and 36a + 6b + c = 5.

Learn more about System of equations:

brainly.com/question/26254258

#SPJ1

6 0
2 years ago
Select two points that the line would go through. Practice graphing it on a piece of paper in front of you.
Aloiza [94]

Answer:

(2, -2) and (1,-3)

Step-by-step explanation:

The y-intercept means that the coordinate where the line touches the y-axis. In other words, the y value(-4) when x=0. The result is (0, -4). The y coordinate also can be used to fill c variable of y=mx + c

We have 2 coordinates now, (3, -1) and (0, -4), then we can find out the line equation. We need to find the slope (m), the formula will be:

m= y2-y1 / x2-x1=  

m= -4 - (-1) / (0-3)

m= -3/-3= 1

The line equation is:

y= mx + c

y= 1x + (-4)

y= x-4

After you have the equation, you can try to test the point individually to find if any of them fit the equation. You can also draw a line on the graph and see if any point touches the graph.

Red dot is the two point we have, red line is straight line that made from both point, and blue point is the option. As you can see on the graph, the points that touch the line will be (2, -2) and (1,-3)

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3 years ago
Which situatioWhich situation does NOT describe a final value of 0?
kati45 [8]

Answer:

<em><u>A </u></em><em><u>.</u></em> A balloon rose to a height of 605 feet above the ground. It then dropped 500 feet and then dropped another 105 feet.

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