1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
erastova [34]
2 years ago
12

Write a rule for g described by the transformation of the graph of f...

Mathematics
1 answer:
Svetlanka [38]2 years ago
4 0

Answer:

g(x) = 4-4\sqrt{x}

Step-by-step explanation:

Given

f(x) = 4\sqrt{x}+1

1. 5 units down translation

2. Reflection in the x-axis

Required

Determine the resulting function g

1. 5 units down translation

This is defined by the rule:

A down translation is:

f'(x) = f(x) - b

Where b is the number of units.

So, we have:

f'(x) = 4\sqrt{x} + 1 - 5

f'(x) = 4\sqrt{x} -4

2. Reflection in the x-axis

For a function f(x),

When reflected over the x-axis, it becomes -f(x)

So:

g(x) = -f(x)

g(x) = -(4\sqrt{x} - 4)

g(x) = -4\sqrt{x} +4

g(x) = 4-4\sqrt{x}

You might be interested in
36^x-2=6 solve for x
Lina20 [59]

Answer:

x = \frac{in (8)}{in (36)}  if you consider doing decimal form x = 0.58027921. . .

Step-by-step explanation:

Take logarithm of both sides of the equation to remove the variable from the exponent.

3 0
2 years ago
The figure below shows a line graph and two shaded triangles that are similar:
VLD [36.1K]
Every time the y-value decreases by 1, the x-value increases by 2, so the slope is -1/2 throughout the line.
4 0
3 years ago
Read 2 more answers
What are the composite factor of 20
Stella [2.4K]

Answer:

<h2>4×4+<em><u>4</u></em></h2>

Step-by-step explanation:

<em><u>hope</u></em><em><u> </u></em><em><u>its</u></em><em><u> </u></em><em><u>helpful</u></em>

4 0
3 years ago
Read 2 more answers
What does it mean when two functions are inverse of each other?
mariarad [96]
They are the opposite of each other.  Like if one function has the point (1,3) the inverse function with have the point (3,1)
4 0
3 years ago
Plss help i beg you!​
frosja888 [35]

Answer:

  • 51

Step-by-step explanation:

<u>Given expression:</u>

  • 3(x + y) +2x² + (1 + y)²

<u>Find its value when x = 4 and y = 1, substitute:</u>

  • 3(4 + 1) + 2*4² + (1 + 1)² =
  • 3*5 + 2*16 + 2² =
  • 15 + 32 + 4 =
  • 51
7 0
2 years ago
Other questions:
  • Is 1044 2 3 5 6 9 10
    6·1 answer
  • The leftmost digits of rwo nunbers are 8 and 3 which one is greater
    10·1 answer
  • What is the solution of the equation 6×+3=5×-5
    7·1 answer
  • Help Me Please Someone Who Understands Is For Tomorrow Fill The Table With The Coefficients Of Each Equation Equation
    12·1 answer
  • Are there any other better cheating sites??
    7·2 answers
  • a housekeeper mixed 5 gallons of blue paint with every 9 gallon of yellow paint in order to make a green paint which ratio of ga
    5·1 answer
  • Mr. Hawkins is covering a wall with wallpaper. The room measures 14 feet by 12 feet in a rectangular shape. Each square foot of
    15·1 answer
  • Plz fast I need it<br>plz plz plz<br>​
    5·1 answer
  • Suppose you have an experiment where you flip a coin three times. You then count the number of heads.
    11·1 answer
  • Find the 64th term of the arithmetic sequence 2, -3, -8, ...
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!