All categories

2 years ago

Which of the following functions is graphed below?

Mathematics

1 answer:

kvv77 [185]2 years ago

4 0

Using translation concepts, it is found that the function graphed is defined by:

D. y = |x - 2| + 3.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the function has the format of the absolute value function, y = |x|, which has vertex at (0,0). Here, the vertex is at (2,3), that is, the function was shifted:

2 units to the right, that is, x -> x + 2.

3 units up, that is, y -> y + 3.

Hence the definition is given by:

D. y = |x - 2| + 3.

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

You might be interested in

If you are looking for the height of a pyramid and the volume is 18,069,333.33333 and the length and width are both 440 what is

makkiz [27]

Answer:

h=123,200

Step-by-step explanation:

First you must in the formula for the pyramid, which is

$v=\frac{wlh}{3}$

and as far as the question has gave us

V=18069333.33333

LW=440

1.) Plug those numbers into the the equation, which should be:

$(18,069,333.33333)= \frac{(440)h}{3}$

2.) Then isolate the "h" by dividing both sides by $\frac{440}{3}$ , or multiplying its reciprocal, which is $\frac{3}{440}$

$(\frac{3}{440}) 18,069,333.33333=\frac{440h}{3} (\frac{3}{440} )$

3.) Simplify or round the numbers if you need to.

$h= 123,200$

5 0

3 years ago

Function D models the depth of a submarine where D(x) is the depth in meters. When the submarine is x miles from its launching l

mixer [17]

The correct option D; models the depth of the submarine.

<h3>Define the term parabola?</h3>

Parabola, also known as an open curve or conic section, is formed when a right circular cone and a plane perpendicular to one of the cone's elements cross.

When a submarine is x miles out of its launch place, we need to figure out which table best represents the depth of the submarine using the function d, wherein d(x) is the depth, in meters.

Both x = 5 as well as x = 40 have zeros.

Since it's a parabola,

D(x) = a(x-5)(x-40)

vertex = (22.5, -146)

Thus,

-146 = a(22.5-5)(22.5-40)

a = -146/(22.5-5)(22.5-40)

a = 0.4767

Put value of a in equation.

D(x) = a(x-5)(x-40)

D(x) = 0.4767(x-5)(x-40)

The equation above is quadratic function model.