All categories

3 years ago

What is the effect on the graph of the function f(x) = x when f(x) is replaced with -1/2 f(x)?

Mathematics

1 answer:

Sphinxa [80]3 years ago

6 0

Answer:

C) horizontal reflection over y-axis and horizontal stretch

Step-by-step explanation:

1a- A vertical reflection over the x-axis occurs when a function $f(x)$ is transformed into $f(-x)$

1b- A horizontal reflection over the y-axis occurs when a function $f(x)$ is transformed into $-f(x)$

2a- A function is being compressed if $f(x)$ is multiplied by a positive factor k: $k f(x)$ with $k>1$

2b- A function is being stretched if $f(x)$ is multiplied by a positive factor k: $k f(x)$ with $k$

In our problem, the original function $f(x)$ is:

- Multiplied by 1/2, so by a factor which is smaller than 1, so we are in case 2b

- Transformed from $f(x)$ into $-f(x)$ (due to the negative sign in front of it), so we are in case 1b

So, overall, we had a horizontal reflection over the y-axis and a stretch of the function.

You might be interested in

A square has an area of 64 m². What is the length of each side?

anygoal [31]

Answer:

Step-by-step explanation:

The area of a square is length*width.

We can square root the area to get the length of each side. Since the shape is a square, the lengths are the same.

$\sqrt{64}$ =8

One side is 8m.

7 0

3 years ago

A sports store sells three different packs of tennis balls. Brand A costs $2.50 for two balls, brand B sells three balls for $3.

meriva

Answer:

Step-by-step explanation:

sports store sells three different packs of tennis balls. Brand A costs $2.50 for two balls, brand B sells three balls for $3.90, and brand C has a sale of four balls for $5.12. Which inequality about the unit price per ball is correct

Brand A:

$2.50 for 2

Brand B :

$3.90 for 3

Brand C:

$5.12 for 4

We calculate the unit price :

Brand A:

$2.50 / 2 = $1.25

Brand B:

$3.90 / 3 = $1.30

Brand C:

$5.12 / 4 = $1.2

4 0

3 years ago

Question about decimals

meriva

Answer:

Both are terminating decimals

Step-by-step explanation:

Answer to your questions:

First of all, both A and B are correct and both quotients are terminating decimals.

To find out if the decimal is terminating or not, multiply the quotient by divisor. If you get exactly the same number as dividend, then it is terminating otherwise it is non-terminating.

The fraction may have greater numerator than denominator, in this case the quotient will be greater than one.
Now regarding simplification. You would be asked to give an answer rounded to some extend. One decimal place, two decimal places, 3 significant numbers etc. For the first operation you would get 34.8 (rounded to nearest tenth).
Or you may be asked to have a best estimated result. In this case you would round the initial numbers and find results. 205/714 ≈ 0.29

4 0

3 years ago

What is the factored form of 64g^3+8?

amid [387]

64 = 4 x 4 x 4 g^3 = g x g x g the problem is the sum of of 2 cubes 8 = 2 x 2 x 2 so the factored form is - a3+b3=(a+b)(a2−ab+b2).

7 0

3 years ago

Find the equation of the circle with center (4,5) which passes through the y-intercept of the line 5x-2y+6=0

Elena-2011 [213]

Answer:

(x-4)^2 + (y-5)^2 = 20

Step-by-step explanation:

Rearrange the line equation of 5x - 2y + 6 = 0

So y = 5/2x +3

The y-intercept of the line equation is 3 as when x=0, y=3.

We know the Circle has the formula $(x-4)^2 + (y-5)^2 = ?^2$ from the question but with the intercept, we can find the entire equation as the y-intercept is (0,3) so we can substitute it into the equation to find the full equations so:

$(0-4)^2 + (3-5)^2 = ?^2$

This simplifies to:

$(-4)^2 +(-2)^2$ = $?^2$

16 + 4 = 20 = $?^2$

The answer is 20 so the equation of the circle is $(x-4)^2 + (y-5)^2 = 20$

3 0

2 years ago