All categories

3 years ago

Describe how the graph of g(x) is related to the graph of f(x) = 1?/x

Mathematics

1 answer:

Sidana [21]3 years ago

4 0

Answer:

a) f(x) translated up 4 units ⇒ vertical moving

b) f(x) stretched vertically by scale factor 5

c) f(x) translated 3 units to the left ⇒ horizontal moving

d) f(x) stretched horizontally by scale factor 1/0.1 = 10

e) f(x) compressed horizontally by scale factor 1/3 and reflected

about the y-axis

Step-by-step explanation:

∵ f(x) = 1/x

a) ∵ g(x) = 1/x + 4

∴ f(x) moved up 4 units ⇒ vertical moving

b) ∵ g(x) = 5(1/x)

∴ f(x) stretched vertically by scale factor 5

c) ∵ g(x) = 1/(x + 3)

∴ f(x) moved 3 units to the left ⇒ horizontal moving

d) ∵ g(x) = 1/0.1x

∴ f(x) stretched horizontally by scale factor 1/0.1 = 10

e) ∵ g(x) = 1/-3x

∴ f(x) compressed horizontally by scale factor 1/3 and reflected

about the y-axis

You might be interested in

Solve: ( 6 1/5+2 1/2) x 0.85

QveST [7]

It's 21.125 hope this works good luck ;)

6 0

3 years ago

Read 2 more answers

The altitude of an equilateral triangle is 22 inches. Find the perimeter of the equilateral triangle. Leave answer as a simplifi

torisob [31]

The perimeter of the equilateral triangle will be 76.2 in

<u>Explanation:</u>

Altitude of an equilateral triangle, H = 22 in

Perimeter, p = ?

Let a be the side of the triangle

We know:

$H = \frac{a\sqrt{3} }{2} \\\\22 = \frac{a\sqrt{3} }{2} \\\\a = 25.4 in$

Perimeter = 3a

P = 3 X 25.4 in

P = 76.2 in

3 0

3 years ago

A zookeeper weighed an African elephant to be 9 × 103 pounds and an African lion to be 4 × 102 pounds. How many times greater is

amm1812

Answer:

The African Elephant is 2.27 times heavier than a African Lion.

Step-by-step explanation:

9 × 103 pounds = 927E.

4 × 102 pounds = 408L.

4 0

2 years ago

Read 2 more answers

The table below shows the marginal utility schedule for two commodities, kenkey and rice for latifa. The price of kenkey is give

son4ous [18]

Answer:

first off i cannot see the table and second what are you even looking for

Step-by-step explanation:

5 0

3 years ago

Complete the square for the expression, then factor the trinomial.

Nuetrik [128]

Answer:

Completing the square we get: $(x-2)^2-(2)^2$

and factoring the term we get: $x(x-4)$

Step-by-step explanation:

We need to complete the square for the expression $x^2-4x$

For completing the square the expression would be of form $a^2+2ab+b^2=(a+b)^2$

For given expression we have to add (2)^2 and subtract to make it complete the square.

$x^2-2(x)(2)+(2)^2-(2)^2\\(x-2)^2-(2)^2$

Now, we have to factor the polynomial using formula $(a)^2-(b)^2=(a-b)(a+b)$

So, $(x-2)^2-(2)^2\\=(x-2-2)(x-2+2)\\=(x-4)(x-0)\\=x(x-4)$

Completing the square we get: $(x-2)^2-(2)^2$

and factoring the term we get: $x(x-4)$

5 0

3 years ago