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Bas_tet [7]
3 years ago
6

Suppose f(x)=x-4. Find the graph for f(1/4x)

Mathematics
1 answer:
9966 [12]3 years ago
7 0

Answer:

#4

Step-by-step explanation:

Graph #4 is the correct one.  Multiplying x by 1/4 widens the original graph by a factor of 4.  That "-4" shifts the graph 4 units to the right.

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from the set {-512,-8,8} ,use substitution to determine which value of x makes the equation true -64x=-1,152
Llana [10]

Answer:

18

Step-by-step explanation:

Just divide both sides by - 64

6 0
3 years ago
What is the value of k in the function ƒ(x) = 112 - kx if ƒ(-3) = 121?
DedPeter [7]
  f(x) = 112 - kx
 f(-3) = 112 - k(-3)
 f(-3) = 112 - (-3k)
 f(-3) = 112 + 3k
  121 = 112 + 3k
- 112  - 112
      9 = 3k
      3     3
      3 = k
6 0
3 years ago
Pentagon ABCDE and pentagon A″B″C″D″E″ are shown on the coordinate plane below:
erastova [34]

The transformations that are applied to pentagon ABCDE to create A"B"C"D"E" are:

1) Translation (x, y) → (x + 8, y + 2)

2) Reflection across the x-axis (x, y) → (x, -y)

So, the overall transformation given in the graph is (x, y) → {(x + 8), -(y + 2)}.

<h3>What are the transformation rules?</h3>

The transformation rules are:

  • Reflection across x-axis: (x, y) → (x, -y)
  • Reflection across y-axis: (x, y) → (-x, y)
  • Translation: (x, y) → (x + a, y + b)
  • Dilation: (x, y) → (kx, ky)

<h3>Calculation:</h3>

The pentagons in the graph have vertices as

For the pentagon ABCDE: A(-4, 5), B(-6, 4), C(-5, 1), D(-2, 2), and (-2, 4)

For the pentagon A"B"C"D"E": A"(4, -7), B"(2, -6), C"(3, -3), D"(6, -4), and E"(6, -6)

Consider the vertices A(-4, 5) from the pentagon ABCDE and A"(4, -7) from the pentagon A"B"C"D"E".

Applying the Translation rule for the pentagon ABCDE:

The rule is (x, y) → (x + a, y + b)

So, the variation is

-4 + a = 4

⇒ a = 4 + 4 = 8

5 + b = 7

⇒ b = 7 - 5 = 2

So, the pentagon ABCDE is translated by (x + 8, y + 2).

Applying the Reflection rule for the translated pentagon:

The translated pentagon has vertices (x + 8, y + 2).

When applying the reflection across the x-axis,

(x + 8, y + 2) → {(x + 8), -(y + 2)}

Therefore, the complete transformation of the pentagon ABCDE to the pentagon A"B"C"D"E" is (x, y) → {(x + 8), -(y + 2)}

Verification:

A(-4, 5) → ((-4 + 8), -(5 + 2)) = (4, -7)A"

B(-6, 4) → ((-6 + 8), -(4 + 2)) = (2, -6)B"

C(-5, 1) → ((-5 + 8), -(1 + 2)) = (3, -3)C"

D(-2, 2) → ((-2 + 8), -(2 + 2)) = (6, -4)D"

E(-2, 4) → ((-2 + 8), -(4 + 2)) = (6, -6)E"

Learn more about transformation rules here:

brainly.com/question/4289712

#SPJ1

5 0
2 years ago
Y=4x-9 y=x-3 solve by substitution
Arisa [49]

Answer:

x=2

Step-by-step explanation:

x-3=4x-9

x=4x-6

-3x=-6

x=2

7 0
3 years ago
Read 2 more answers
Ony paid $9.87 for 3 boxes of tissue. <br><br> How much did he pay for each box? <br><br> $
suter [353]
You would have to pay 3.29 for each box of tissues
7 0
3 years ago
Read 2 more answers
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