All categories

2 years ago

The function, f(x) = x2, is transformed to obtain function g as shown.

Mathematics

1 answer:

poizon [28]2 years ago

7 0

It is the graph of f(x) = x^2 vertically compressed, and then translated 3 units up and 5 units to the right.

<h3>Transformation techniques</h3>

Transformation is a process of changing the size and shape of an object. The given graph is a graph of quadratic function with parent function x².

According to the graph shown the resulting parent function has been shifted horizontally to the right by 5 units to produce g(x) = f(x) - 5

Learn more on translation here: brainly.com/question/12861087

#SPJ1

You might be interested in

If 8 times a number is added to twice the number, the result is 60. the solution is

Andrei [34K]

Answer:

(8 * x) + 2x = 60

8x + 2x = 60

10x = 60

/10 /10

x = 6

8 is a constant that is being multiplied by an unknown number which we will name x. It is then being added to two times the unknown number(x), so we multiply x by 2, which is 2x. The final product will be 60, so in the equation it'll then equal 60.

We consider "a number" to be a variable that withholds an unknown value, which is x (or any other variable you prefer).

3 0

3 years ago

Read 2 more answers

Please see attachment

Dafna11 [192]

Answer:

a) The value of absolute minimum value = - 0.3536

b) which is attained at $x = \frac{1}{\sqrt{2} }$

Step-by-step explanation:

Step(i):-

Given function

$f(x) = \frac{-x}{2x^{2} +1}$ ...(i)

Differentiating equation (i) with respective to 'x'

$f^{l} = \frac{2x^{2} +1(-1) - (-x) (4x)}{(2x^{2}+1)^{2} }$ ...(ii)

$f^{l}(x) = \frac{2x^{2}-1}{(2x^{2}+1)^{2} }$

Equating Zero

$f^{l}(x) = \frac{2x^{2}-1}{(2x^{2}+1)^{2} } = 0$

$\frac{2x^{2}-1}{(2x^{2}+1)^{2} } = 0$

$2 x^{2}-1 = 0$

$2 x^{2} = 1$

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

$x = \frac{-1}{\sqrt{2} } , x = \frac{1}{\sqrt{2} }$

Step(ii):-

Again Differentiating equation (ii) with respective to 'x'

$f^{ll}(x) = \frac{(2x^{2} +1)^{2} (4x) - 2(2x^{2} +1) (4x)(2x^{2}-1) }{(2x^{2}+1)^{4} }$

put

$x = \frac{1}{\sqrt{2} }$

$f^{ll} (x) > 0$

The absolute minimum value at $x = \frac{1}{\sqrt{2} }$

Step(iii):-

The value of absolute minimum value

$f(x) = \frac{-x}{2x^{2} +1}$

$f(\frac{1}{\sqrt{2} } ) = \frac{-\frac{1}{\sqrt{2} } }{2(\frac{1}{\sqrt{2} } )^{2} +1}$

on calculation we get

The value of absolute minimum value = - 0.3536

Final answer:-

a) The value of absolute minimum value = - 0.3536

b) which is attained at $x = \frac{1}{\sqrt{2} }$

3 0

3 years ago

MULTIPLE CHOICE PLEASE HELP

bekas [8.4K]

Answer:

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = $\frac{1}{3}$ x + 5 ← is in slope- intercept form

with slope m = $\frac{1}{3}$

• Parallel lines have equal slopes, hence

y = $\frac{1}{3}$ x + c ← is the partial equation of the parallel line

To find c substitute (- 6, 0) into the partial equation

0 = - 2 + c ⇒ c = 0 + 2 = 2

y = $\frac{1}{3}$ x + 2 → C

4 0

3 years ago

How many inches in a full step?

UNO [17]

Answer:

according to google there are 30 inches in a full step

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

When using a debit card: A:There are always fees. B:Identification is always required. C:You still need to record transactions i

Komok [63]

Answer:

Step-by-step explanation:

Since this isn't a credit card, there are no interests or fees on a debit card, so A is incorrect. B is also incorrect. You only need identification when you are withdrawing or depositing at a bank, but purchases made in stores or online do not need your identification. You also don't need to record transactions in your checkbook (but it is recommend to keep track of purchases). Modern day technology already records transaction history and all you need to do is access it online.

D is correct because if someone steals your PIN for your debit card, they could go to stores and use that money. You can dispute charges and report to the bank if that happens.

7 0

3 years ago