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3 years ago

Reflectiion across y=x

Mathematics

1 answer:

faltersainse [42]3 years ago

7 0

9514 1404 393

Answer:

see attached

Step-by-step explanation:

The reflection across y=-x swaps the coordinates and negates both of them. The first-quadrant figure becomes a third-quadrant figure.

(x, y) ⇒ (-y, -x)

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Help me answer this question please

Stella [2.4K]

ANSWER

${f}^{ - 1} =\pm \sqrt{x + 1}$

EXPLANATION

The given function is

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

Let

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

Interchange x and y to get:

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

Solve for y,

$x + 1 = {y}^{2}$

Take square root of both sides to get,

$\pm \sqrt{x + 1} = y$

This is the same as:

$y = \pm \sqrt{x + 1}$

Therefore the inverse is

${f}^{ - 1} =\pm \sqrt{x + 1}$

3 0

3 years ago

Which of these intervals has an average rate of change that is less than 1/4

RideAnS [48]

Answer:

Interval [b,c] and interval [c,d]

Step-by-step explanation:

a(-5,0)

b(-1,2)

c(4,3)

d(11,4)

The average rate of change is the the total rise over the total run.

The Rise means the vertical increase and the Run means horizontal incease.

For interval [a,b]

rate of change is $\dfrac{2-0}{-1-(-5)}=\dfrac{2}{4}=\dfrac{1}{2}$

For [b,c]

$\frac{3-2}{4-(-1)}=\frac{1}{5}$

For [c,d]

$\dfrac{4-3}{11-4}=\dfrac{1}{7}$

8 0

2 years ago

3+ (1/4)a = 31<br> need help !!

Olin [163]

Answer:

Step-by-step explanation:

3 0

3 years ago

⦁ Show (2.3)(5.06) as a fraction multiplication problem and explain why the answer is in thousandths (three decimal places).

astra-53 [7]

we have

$(2.3)(5.06)$

we know that

$2.3=\frac{23}{10}$

$5.06=\frac{506}{100}$

$(2.3)(5.06)=(\frac{23}{10})(\frac{506}{100})$

$=\frac{11,638}{1,000}$

$=11.638$

the answer is in thousandths, because the denominator of the multiplication of the two fractions is one thousand

8 0

3 years ago

Read 2 more answers

What operation would you use to solve x/4=20?

umka21 [38]

Answer:

Multiplication

Step-by-step explanation:

x=20•4

x=80

7 0

3 years ago

Read 2 more answers

Reflectiion across y=x​

Reflectiion across y=x