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
worty [1.4K]
3 years ago
6

Which transformations would affect the starting point of a square root function?

Mathematics
1 answer:
lesya692 [45]3 years ago
6 0

Answer:

There are at least two transformations that would affect the starting point of a square root: (i) <em>Horizontal translation</em>, (ii) <em>Vertical translation</em>.

Step-by-step explanation:

Let the square be represented by the following function:

f(x) = \sqrt{x},\,\forall \,x \ge 0 (1)

Which means that function has only valid solutions for every element of x greater or equal to 0. In particular, the starting point is x = 0.

We can change the starting point of this function by horizontal translation, which is defined below:

g(x) = f(x - a), \,\forall \,x \ge a (2)

In other words, we create the resulting function:

g(x) = \sqrt{x-a}, \,\forall\,x \ge a (3)

Another, possibility is using a vertical translation, whose definition is defined below:

h(x) = f(x)+c,\,\forall \,x \ge 0 (4)

In other words, we create the following function:

h(x) = \sqrt{x} +c (5)

Hence, there are at least two transformations that would affect the starting point of a square root: (i) <em>Horizontal translation</em>, (ii) <em>Vertical translation</em>.

You might be interested in
Carlos is using the distributive property to evaluate the expression 14 (49) by using friendlier numbers. His work is shown belo
Natasha2012 [34]
Separating 49 into 40+9
7 0
3 years ago
Read 2 more answers
What does it mean when a polynomial equation is in standard​ form?
Nady [450]

Answer:

Standard form is Ax + By = C

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the slope-intercept equation for this line?
miskamm [114]

Answer:

the slope intersection is xy

8 0
2 years ago
Read 2 more answers
A recipe uses 2/3 cup of flour and 5/8 cup of blueberries. Is there more flour or more blueberries in the recipe?
zysi [14]
Flour has more because flour has 16/24 and blueberries has 15/24
5 0
3 years ago
Read 2 more answers
Write the recurring decimal 0.25 as a fraction
ahrayia [7]

Answer:

\frac{25}{99}

Step-by-step explanation:

We require two equations with the recurring part after the decimal point.

let x = 0.2525.... →(1) ← multiply both sides by 100

100x = 25.2525.... → (2)

Subtract (1) from (2) eliminating the recurring decimal, that is

99x = 25 ( divide both sides by 99 )

x = \frac{25}{99}

7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the value of the rational expression below when x is equal to 4
    15·2 answers
  • SOMEONE PLEASE JUST ANSWER THIS FOR BRAINLIEST!!!
    12·1 answer
  • Find the annual interest rate. I=$16, P=$200, t= 2 years
    15·1 answer
  • By what factor must you multiply a number in order to double its square root? With an example.
    14·1 answer
  • Question 3 Rewrite in simplest rational exponent form √x • 4√x. Show each step of your process.
    10·1 answer
  • Help!!!! Will give brainliest!!!!
    11·1 answer
  • Amy's car gets 32 miles per gallon. If her car's tank holds 15 gallons of gas, and she wants to keep a minimum of 1 gallon of ga
    10·1 answer
  • Explain the impact of planes and pulleys on work and force. Select the facts that are accurate.
    7·1 answer
  • Jeanie bought a book for $8.98, a pen for $3.27 and a ruler for $1.50. if the sales tax on each of the items is 8%, what is the
    5·2 answers
  • Which function represents the quadratic function f(x) = x^2 after a vertical stretch by a factor of number 2?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!