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
babymother [125]
2 years ago
9

For the parent function y=√x what effect does a value of k = -3 have on the graph?

Mathematics
1 answer:
luda_lava [24]2 years ago
4 0

Answer:

Vertical shift of 3 units down ⇒ last answer

Step-by-step explanation:

* Lets revise the translation of a function

- If the function f(x) translated horizontally to the right  

 by h units, then the new function g(x) = f(x - h)

- If the function f(x) translated horizontally to the left  

 by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up  

 by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down  

 by k units, then the new function g(x) = f(x) – k

* Lets solve the problem

∵ The parent function y = √x

∵ There is a translation by k = -3

- From the rules above k is for the vertical translation

∵ k = -3

- That means the parent function translated 3 units down

∴ The value of k = -3 makes the graph of the parent function translated

   3 units down

- For more understand look to the attached graph

# y = √x ⇒ the red graph

# y = √x - 3 ⇒ the blue graph

You might be interested in
Jesse is helping his grandmother plant a garden in the shape of the trapezoid shown below. What is the area, in square feet, of
Harrizon [31]

Answer:

the answer is a) 37.125

please give me brainliest award

4 0
3 years ago
Read 2 more answers
35. Explain the difference between the reciprocal of x^2
Scorpion4ik [409]

Answer:

As you can see, the difference between the reciprocal of x^2 and the inverse of   x^2 is that \frac{1}{x^2} =x^{-2} and \sqrt{x} =x^{\frac{1}{2}.

Step-by-step explanation:

First lets find both the reciprocal of x^2 and the inverse of

Recall that the reciprocal of a value is where you take a fraction and swap the places of the terms. In the case of x^2, 1 is the denominator, so

\frac{x^2}{1} =\frac{1}{x^2}

To find the inverse of a function, you first need swap the locations of x and y in the equation

y=x^2\\\\x=y^2

Now, you need to solve for y

y^2=x\\\\y=\sqrt{x}

Now, lets rewrite each of these to better compare them

\frac{1}{x^2} =x^{-2}\\\\\sqrt{x} =x^{\frac{1}{2}

As you can see, the difference between the reciprocal of x^2 and the inverse of

7 0
2 years ago
In Art Class, you designed a rectangle stained glass window. The
Ierofanga [76]

Answer:

Step-by-step explanation:

Draw a triangle and label the sides (picture below):

● the length is 2x+2

● and the width or the height is 6x

The perimeter of a rectangle is the sum of the sides

● P = 2x+2 + 6x + 2x+2 + 6x

Isolate the similar terms

● P = (2x+2x+6x+6x) + (2+2)

● P = 16x + 4

4 0
2 years ago
Has endpoints J(13, 8) and K(–6, –6). Find the coordinates of the midpoint of .
vova2212 [387]

Answer:

the midpoint of it is 8,-6

Step-by-step explanation:

rhgsr egh

3 0
2 years ago
Which system of equations can be used to solve for the point of intersection of the lines on the graph? A) y = x - 7; y = 2x + 2
ratelena [41]

Answer:

C) y = 2x + 7; y = 2x + 2

Step-by-step explanation:

The two lines are parallel and so will have the same slope.

From the graph, the slope of both lines are two.

Using slope intercept formula, y=mx+c, with m=2, we have y=2x+c

The blue line has a y-intercept of 2 so the equation is

y = 2x + 2

The red line has a y-intercept of -7 so the equation is

y = 2x - 7

Hence the system is

y=2x+2

y=2x-7

The correct answer is C

4 0
3 years ago
Other questions:
  • When you describe a quantity with more than one familiar unit (such as kilometers or millimeters for a length), how can you deci
    9·2 answers
  • A racing car used 255 litres of fuel to complete a 340 km race. On average, how many litres of fuel did the care use every 100 k
    13·1 answer
  • Marsha created this scale drawing of a soccer field, using a scale factor of 1 inch: 12 yards. She wants to make another scale m
    14·2 answers
  • Find the range of y= 3/2 cos 4x-1
    6·2 answers
  • I need to know how to solve this equation
    14·1 answer
  • 2. Which of these levels of education
    12·1 answer
  • Please help NO LINKS
    14·1 answer
  • Can 7,10,12 be a right triangle?
    12·1 answer
  • What are the solutions to this quadratic equation? -2x2+x+4=0
    8·2 answers
  • James and Bethany Morrison are celebrating their 10th anniversary by having a reception at a local reception hall. They have
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!