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amm1812
4 years ago
8

If you horizontally stretch the quadratic parent function, f(x)= x^2, by a factor of 4, what is the equation of the new function

Mathematics
1 answer:
Sauron [17]4 years ago
5 0

Answer:

f(x) = \frac{1}{16}x^2

Step-by-step explanation:

If the graph of the function y=f(hx)  represents the transformations made to the graph of y= f(x)  then, by definition:

If 0 the graph is stretched horizontally  by a factor \frac{1}{h}

If h> 1 the graph is compressed horizontally by a factor \frac{1}{h}

In this problem we have the parent function y=x^2 And we know that it stretches horizontally by a factor of 4

Therefore

0  and h=\frac{1}{4}

The transformation is:

y=f(\frac{1}{4}x)

And the function is:

f(x) = (\frac{1}{4}x)^2

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86cm;m convert to givin units
LUCKY_DIMON [66]
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8 0
3 years ago
Mi abuela dio a luz a mi padre, cuando ella tenia menos de 20 años,y yo naci cuando mi padre tenia mas de 25años , si mi padre t
Svetllana [295]

Answer:

The father was either 29 or 28 years old when the author of the question was born.

El padre tenía 29 o 28 años cuando nació el autor de la pregunta.

Step-by-step explanation:

English Translation

My grandmother gave birth to my father, when she was under 20 years old, and I was born when my father was over 25 years old, if my father is now under 45 years old and I was in my fourth year of high school, how old is my father when I was born.

Solution

Assuming that the author of the question is a typical fourth year high school student.

The age of fourth year high school students normally range from 16 to 17.

The father is currently 45 years old, so the age of the father when the author of the question was born is given as

(45 - 16) or (45 - 17)

= 29 or 28 years old.

which satisfies the condition given in the question that the father was more than 25 years old!

Hope this Helps!!!

In Spanish/En español

Asumiendo que el autor de la pregunta es un típico estudiante de secundaria de cuarto año.

La edad de los estudiantes de cuarto año de secundaria normalmente oscila entre 16 y 17.

El padre tiene actualmente 45 años, por lo que la edad del padre cuando nació el autor de la pregunta se da como

(45 - 16) or (45 - 17)

= 29 o 28 años.

que satisface la condición dada en la pregunta de que el padre tenía más de 25 años!

¡¡¡Espero que esto ayude!!!

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3 years ago
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The temperature was 30 °C.
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3 years ago
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Based on the stated expectations of the sit-and-reach test, which of the following is TRUE?
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Answer:

B

Step-by-step explanation:

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