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
melamori03 [73]
3 years ago
12

The function h(x) = 12x8 + 49 is an even function. Which transformation of h(x) would result in a function that is neither even

nor odd? reflection over the x-axis vertical stretch by a factor of 7 translation 8 units to the right horizontal compression by a factor ofOne-half
Mathematics
1 answer:
Irina-Kira [14]3 years ago
3 0

Answer:  translation 8 units to the right

Step-by-step explanation:

An even function is a function such that:

h(x) = h(-x)

and the function is odd if:

h(-x) = -h(x)

Now, let's talk about transformations:

A) Reflection over the x-axis:

When we have a point (x,y) and we do a reflection over the x-axis, the reflected point will be:

(x, -y).

Then for the case of a function:

y = h(x).

then the reflection will be:

g(x) = - y = -h(x).

And if h(x) is even, -h(x) is also even, so this is not the correct option.

B) Vertical stretch by a factor of 7.

This is written as:

g(x) = 7*h(x).

then:

g(x) = 7*h(x)

g(-x) = 7*h(-x) = 7*h(x) = g(x)

the transformation is even.

C) Translation of 8 units to the right.

We can write this as:

g(x) = h(x - 8).

Then:

g(-x) = h(-x -8) = h(x + 8)

Then g(-x) is not equal to g(x)

and also g(-x) ≠ -g(x)

So in this case the transformation is neither odd or even.

C)  horizontal compression by a factor of One-half.

This transformation is written as:

g(x) = h( (1/2)*x)

And, similar as the case of the vertical compression, in this case the transformation is also even.

You might be interested in
How do you find the difference between median and mean
Flura [38]
Median is the middle number. Ex:
1,3,5,7,10,13,14

The middle number is 7 because there is three numbers on either side of 7. The median would be 7.

The mean is when you add up all of the numbers and divide by the number of numbers. For example, 1,3,5,7,10,13,14
You add all of them. 1+3+5+7+10+13+14 equals 53. Then divide 53 by 7 because there are seven digits.

Median equals 7.57142857
5 0
3 years ago
F(x)=4x2−8x−60 f(x)=4(x2−2x−15) f(x)=4(x−5)(x+3) whts the true statement of f(x)
alukav5142 [94]

Answer: D


Step-by-step explanation:

No such thing as a vertex of a graph... Eliminate B and C. Try f(3) = 4(3-5)(3+3) is not zero eliminate A. So answer must be D. Check: f(-3) has factor -3+3 = 0. f(5) has factor 5-5 = 0.

4 0
3 years ago
The input-output table shows and values that satisfy the equation Y= 4X +21
Hunter-Best [27]
Answer: 41

Explanation: Use the equation. If you put the x value, which is 5, into the equation, you can solve.

4(5)+21

4 x 5 is 20

20+21=41

hope this helps!!
7 0
2 years ago
What is the most precise name for quadrilateral ABCD with vertices A(-4, -4), B(-4, -2), C(-1, -2), and D(-1, -4)?
baherus [9]
D a rectangle because it has four sides easy for abcd
5 0
3 years ago
Read 2 more answers
Let F be a field, and suppose a EF, a *0. Prove that a has a unique multiplicative inverse.
bezimeni [28]

Answer with Step-by-step explanation:

Let F be a field .Suppose a\in F and a\neq 0

We have to prove that a has unique multiplicative inverse.

Suppose a has two inverses b and c

Then, ac=1,ab=1 where 1 =Multiplicative identity

ac=ab

c=b (cancel a on both sides)

Hence, a has unique multiplicative inverse.

6 0
3 years ago
Other questions:
  • A manager states that his process is really working well. Out of 1,500 parts, 1,477 were produced free of a particular defect an
    13·2 answers
  • WILL MARK BRAINLIEST!!!!Which of the following relations is not a function?
    12·1 answer
  • On september 8, 2004, the genesis spacecraft crashed in the utah desert because its parachute did not open. the 210-kg capsule h
    9·1 answer
  • Bett you guys can help meif you do tho you don’t have corona ✌
    5·1 answer
  • If a pair of shoes costs $52.50 including a 7.25% tax, what is the original cost of the item before taxes are added? No other sy
    9·1 answer
  • What is the answer to this
    5·1 answer
  • Combine and simplify the following radical expression. 2/3 3r5
    8·1 answer
  • Guys I need help this due soon
    10·1 answer
  • Instructions: Evaluate each algebraic expression when x=0 and when x=1. Use results to match each expression in the left table w
    12·2 answers
  • Pls help I don't wanna get a bad grade
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!