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lakkis [162]
3 years ago
11

The graphs below have the same shape. what is the equation of the red graph?

Mathematics
1 answer:
Naily [24]3 years ago
7 0

Answer:

Option D. G(x)=x^{3}-1

Step-by-step explanation:

we have

F(x)=x^{3} -----> the parent function

The vertex of the function F(x) is the origin (0,0)

The vertex of the function G(x) is the point (0,-1)

so

The rule of the translation is equal to

(x,y)------> (x,y-1)

That means ------> The translation is 1 unit down

Applying the rule of the translation to F(x)

F(x)-------> G(x)

G(x)=x^{3}-1

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Answer:

Tanto Pedro como Jorge deberán pintar 1/4 de la habitación cada uno.

Step-by-step explanation:

Dado que el cuarto entero es igual a 1, y que Arturo por ser el mayor de los hermanos tiene que pintar 1/2 de él, la parte que falta pintar es igual a 1/2 restante.

De ese 1/2, los hermanos menores, Pedro y Jorge, deben pintar dicha fracción en partes iguales. Por lo tanto, dado que (1/2) / 2 es igual a 1/4, la fracción que tanto Pedro como Jorge deberán pintar es de 1/4 de la habitación.

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Relationship between temperature at different times of the day during the Winter period in places like Alaska and Minnesota in the USA.

Step-by-step explanation:

An example of a relationship that would have a negative number in the domain or range would be the relationship between the temperature at different times of the day during the snow period in the winter. It's well known that in places like Alaska and Minnesota in the USA, that during the winter when there's very heavy snow, the average temperature is usually below 0°C. The temperature is the dependent variable and is most likely negative in those 2 states and thus the range would have negative numbers.

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Graph y = x2 + 2. Identify the vertex of the graph. Tell whether it is a minimum or maximum. (0, 2); maximum (0, 2); minimum (2,
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Answer:

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Step-by-step explanation:

Given:

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y=(x-0)^{2}+2

The vertex form of a parabola is y=(x-h)^{2}+k, where, (h,k) is the vertex.

So, the vertex is (0,2).

In order to graph the given parabola, we find some points on it.

Let x=-2,y=(-2)^{2}+2=4+2=6

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Mark these points on the graph and join them using a smooth curve.

The graph is shown below.

From the graph, we conclude that at the vertex (0,2), it is minimum.

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