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
In an equation or inequality, you want to get the variable.
gladu [14]
What you want to do is get the variable x on the left side by itself (just like you would if this were an equation). Be sure to perform the same operations on both sides of the inequality until x is all by itself on the left side.
7 0
3 years ago
Can someone help me with this circle geometry problem (question 1) ty
Alona [7]

Step-by-step explanation:

1. Radius=3cm, diameter=6cm

Circumference=3.14×6cm=18.84cm

2. Radius=6in, diameter=12in

Circumference=3.14×12in=37.68in

3. Radius=9mm, diameter=18mm

Circumference=3.14×18mm=56.52mm

8 0
3 years ago
A furniture store pays a certain amount for a mattress, called the wholesale price.
nata0808 [166]

Answer:

  $1600

Step-by-step explanation:

The $800 that the customer paid is 50% of the retail price, so the retail price is twice that amount:

  $800/0.50 = $1600

The selling price of the mattress before the discount was $1600.

__

Additional comment

The wholesale price was $1600/2.25 = $711.11

5 0
2 years ago
What is the midpoint of (-7.2,-0.7) and (1.2,-10.7)
gtnhenbr [62]

Answer:

(-3, -5.7)

I hope this helps!

3 0
3 years ago
Read 2 more answers
Find the following quantity. 103% of 19 =
posledela
19 × 1.03 = 19.57

The answer is 19.57.
3 0
3 years ago
Read 2 more answers
Other questions:
  • What Is The Solution To This Equation?<br> x/3 = 9<br>PLEASE PLEASE HELP!
    8·2 answers
  • You have different video games. How many different ways can you arrange the games side by side on a​ shelf? You can arrange the
    12·1 answer
  • What comes next in the following pattern: 0,1, -2, 3, -4,5, -6, 7,-8, 9, -10, _
    14·1 answer
  • I need help with slopes!!
    15·1 answer
  • NO LINKS!!!
    6·2 answers
  • A rectangle has a length of (5x+2) and a width of (3x-1) with an area of 308 square units. Find the perimeter
    11·1 answer
  • Or Success
    8·1 answer
  • Can anyone tell me how to gain some weight? I Have a very high metabolism and is very difficult to keep a few pounds. I'm very s
    15·1 answer
  • data show that men who are married and also divorced or widowed men earn quite a bit more than men the same age who have never b
    13·1 answer
  • The administrator of a county's museum is considering increasing the price of an annual pass by 1% from $55 to $55.55. At the cu
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!