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4 years ago

How is the parent function y=x2 related to the given function Y=3(x+1)2?

1 answer:

6 0

Parent function: y = f(x) = x^2

given function: y = g(x) = 3 (x+1)^2

=> g(x) = 3 * f(x + 1)^2

So, from the point of view of graphs, the given function, g(x), is the parent function, f(x) = x^2, shifted one unit to the left and amplified by a factor of 3.

You might be interested in

Number with the most factors and how many

aleksley [76]

Answer:

the record holder is 1260 with 36 factors.

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

1. Find k, the constant of proportionality, for the given graph.

s2008m [1.1K]

Answer:

The answer is B or 15.

Step-by-step explanation:

the total money saved divided by the time is always 15

5 0

3 years ago

There are three modes of transporting material from Ontario to Florida, namely, by land, sea, or air. Also land transportation m

Semenov [28]

Answer:

0.057

0.6140

0.3158

0.0701

Step-by-step explanation:

Given that:

Let :

P(L) = Number transported by land = half = 50% = 0.5

P(S) = number transported by sea = 30% = 0.3

P(A) = Number transported by air = (100 - (50 + 30))% = 20% = 0.2

P(H) = highway transport = 40% of land transport = 0.4 * 0.5 = 0.2

P(R) = Rail shipment =(100- 40)% = 60% of land transport = 0.6 * 0.5 = 0.3

Percentage of damaged cargo :

Let probability of damage = P(d)

P(d | H) = 0.1

P(d | R) = 0.05

P(d | S) = 0.06

P(d | A) = 0.02

1) What percentage of all cargoes may be expected to be damaged

[P(d | H)*p(H)] + [P(d | R)*p(R)] + [P(d | S)*p(S)] + [P(d | A)*p(A)]

(0.1*0.2) + (0.05*0.3) + (0.06*0.3) + (0.02*0.2) = 0.057

(2) If a damaged cargo is received, what is the probability that it was shipped by ;

land?

((0.1*0.2) + (0.05*0.3)) / (0.1*0.2) + (0.05*0.3) + (0.06*0.3) + (0.02*0.2)

= 0.035 / 0.057

= 0.6140

By sea?

(0.06 * 0.3) / 0.057

= 0.3158

By air?

(0.02 * 0.2) / 0.057

= 0.0701

7 0

3 years ago

What is the angle called?

Pie

That’s a obtuse angle I’m pretty sure.

5 0

3 years ago

Read 2 more answers

If a trench is 102’-6” long by 5’-4” wide and 3’-3” deep, what is the volume of the soil that was removed per cubic feet?

zzz [600]

Considering that the trench is modeled by a rectangular prism, the volume that was removed is 1776 cubic feet.

The volume of a <u>rectangular prism of length l, width w and height h</u> is given by:

$V = lwh$

In this problem, we want the measures in feet, and considering that 1 feet is 12 inches:

The length is of 102' 6''(102 feet and 6 inches), hence $l = 102.5$ .

The width is of 5' 4'', hence $w = 5.33$ .

The depth(height) is of 3' 3'', hence $h = 3.25$ .

Then:

$V = lwh = 102.5(5.33)(3.25) = 1776$

The volume that was removed is 1776 cubic feet.

To learn more about the volume of rectangular prisms, you can take a look at brainly.com/question/17223528

8 0

3 years ago