Mathematics, 26.07.2019 21:00 helvonka

Consider the following function : y=1/(x+5)+2 how does the graph of this function compare with the graph of the parent function, y=1/x

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As the given parent function is added 5 units in the variable and 2 units out of the function. Thus, The given parent function is first shifts 5 units left and then 2 units up as shown in the figure below.

What is transformation of a function?

Transformation of a function is shifting the function from its original place in the graph.

Types of transformation-

Horizontal shift- Let the parent function is f(x)

. Thus by replacing parent function with f(x-b)

shifts the graph b units right and by replacing parent function with f(x+b)

shifts the graph b units left.Vertical shift- Let the parent function is f(x)

. Thus by replacing parent function with f(x)+c

shifts the graph c units up and by replacing parent function with f(x)-c

shifts the graph c units down.

Given information-

The given parent function in the problem is,

$y=\dfrac{1}{x}$

Here the function is first shifts 5 units left and become,

$y=\dfrac{1}{x+5}$

Then the function is shifts 2 units up as,

$y=\dfrac{1}{x+5}+2$

Hence the given parent function is first shifts 5 units left and then 2 units up as shown in the figure below.

Learn more about the transformation of a function here;

link

Consider the following function : y=1/(x+5)+2 how does the graph of this function compare with the g

Answer from: JasminGodoy

With respect to the parent function,
y = 1/(x+5) +2
is translated 5 units left and 2 units up.
Consider the following function : y=1/(x+5)+2 how does the graph of this function compare with the g

Answer from: Quest

answer with step-by-step explanation:

a. ∠j is supplementary to ∠k - true:

(opposite angles of a trapezoid are supplementary which means that they add up to 180 degrees)

b. kl is parallel to jm - true:

(opposite sides are parallel to each other in a trapezoid)

c. jk is perpendicular to kl - false:

(clearly, jk does not make a right angle with kl)

d. jk is parallel to lm - false:

(jk and lm are two lines opposite in direction to each other so they cannot be parallel)

e. ∠j is congruent to ∠m - true:

(the angles on each side of the base are congruent)

f. ∠j is congruent to ∠k - false:

(the angles on the same side but opposite side of the base are not congruent)

If jklm is a trapezoid, which statements must be true?

Answer from: Quest

There is no

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