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forsale [732]
1 year ago
7

How can I draw this problem?

Mathematics
1 answer:
Annette [7]1 year ago
6 0

Using translation concepts, the graph of f(x) is given at the end of the answer.

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

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The parent absolute value function is given by:

f(x) = |x|

Which has the graph in the format of a V centered at the origin.

The translated function is given by:

g(x) = -1/2|x + 4| + 2.

The translations are as follows:

  • Reflection over the x-axis, due to the multiplication by the negative number, thus the V is pointing down now.
  • Vertical compression by a factor of 2, due to the division by 2.
  • Shift left of 4 units, as x -> x + 4.
  • Shift up of 2 units, as y -> y + 2.

Due to the last two translations, the graph is now centered at (-4,2) and is given at the end of the answer.

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

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Step-by-step explanation:

Problem One (left panel)

<em><u>Question A</u></em>

  • The y intercept happens when x = 0
  • That being said, the y intercept is 50. It was moving when the timing began.

<em><u>Question B</u></em>

The rate of change = (56 - 52)/(3 - 1) = 4/2 = 2  miles / hour^2 (you have a slight acceleration.

<em><u>Question C</u></em>

  • 60 = a + (n-1)d
  • 60 =  50 + (n - 1)*2
  • 10/2 = (n - 1)*2/2
  • 5 = n - 1
  • 6 = n

The way I have done it the domain is n from 1 to 6

Question 2 (Right Panel)

<em><u>Question A</u></em>

The equation for the table is f(x) = 3x - 3 which was derived simply by putting all three points into y = ax + b and solving.

  • f(0) = ax + b
  • -3 = a*0) + b
  • b = - 3
  • So far what you have is
  • f(x) = ax - 3
  • f(-1) = a*(-1) - 3           but we know (f(-1)) = -6
  • - 6 = a(-1) - 3             add 3 to both sides
  • -6 +3 = a(-1) -3 + 3
  • -3 = a*(-1)                  Divide by - 1
  • a = 3
  • f(x) = 3x - 3               Answer for f(x)
  • The slope of f(x) = the coefficient in front of the x
  • f(x) has a slope of 3
  • g(x) has a slope of 4

<em><u>Part B</u></em>

  • f(x) has a y intercept of - 3
  • g(x) has a y intercept of -5
  • f(x) has the greater y intercept.
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1/2 or 0.5 hope this helps

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Read 2 more answers
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