All categories

3 years ago

If you are given the graph of h(x)=log6x. how could you graph m(x)=log6(x+3)

Mathematics

2 answers:

Dovator [93]3 years ago

8 0

We have been given the function $h(x)=\log_6x$

Now, we can see that in the transformed function $h(x)=\log_6(x+3)$ , we have added 3 in the x.

Whenever we add/subtract some constant in the x, then the function gets translated to either left or right.

We know that if f(x) is a parent function and if we add a constant c then the function gets shift to c unit left.

Therefore, the given graph will get shifted 3 units left.

D is the correct option.

Translate each point of the graph of h(x) 3 units left.

Setler [38]3 years ago

4 0

Answer:it is D 3 unites left

Step-by-step explanation:

I took the test

You might be interested in

suppose Mina and two of her friends go to the movies.write an expression that could be used to find the total cost for them to g

Marizza181 [45]

Let x represent the cost of the movie ticket and y represent the cost of a snack item. 3x + 3y

3 0

3 years ago

Read 2 more answers

Write an equation for the circle with endpoints of a diameter (9, 4) and (-3, -2)

inysia [295]

If the diameter is at (9,4) and (-3,-2), then the center of the circle is the midpoint of that segment.

and since we know that the radius of a circle is half of the diameter, whatever long that diameter segment is, the radius is half that.

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 9 &,& 4~) 
% (c,d)
&&(~ -3 &,& -2~)
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{ x_2 + x_1}{2}\quad ,\quad \cfrac{ y_2 + y_1}{2} \right)
\\\\\\
\left( \cfrac{-3+9}{2}~~,~~\cfrac{-2+4}{2} \right)\implies \stackrel{center}{(3~,~1)}$

$\bf -------------------------------\\\\
~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 9 &,& 4~) 
% (c,d)
&&(~ -3 &,& -2~)
\end{array}
\\\\\\
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
d=\sqrt{(-3-9)^2+(-2-4)^2}\implies d=\sqrt{(-12)^2+(-6)^2}
\\\\\\
d=\sqrt{180}\qquad \qquad \qquad radius=\cfrac{\sqrt{180}}{2}$

$\bf -------------------------------\\\\
\textit{equation of a circle}\\\\ 
(x- h)^2+(y- k)^2= r^2
\qquad 
center~~(\stackrel{3}{ h},\stackrel{1}{ k})\qquad \qquad 
radius=\stackrel{\frac{\sqrt{180}}{2}}{ r}
\\\\\\
(x-3)^2+(y-1)^2=\left( \frac{\sqrt{180}}{2} \right)^2\implies (x-3)^2+(y-1)^2=\cfrac{(\sqrt{180})^2}{2^2}
\\\\\\
(x-3)^2+(y-1)^2=\cfrac{180}{4}\implies (x-3)^2+(y-1)^2=45$

7 0

3 years ago

Find the midpoint of points A (5,-6) and B(2,0) graphically

netineya [11]

I think its (3.5, -3)

8 0

2 years ago

Samantha buys a pair of sneakers that were originally $60. They were on sale for 25%

Alex_Xolod [135]

Answer:

$47.70

Step-by-step explanation:

60.00 x .25 = 15 ( so $15.00 off the shoes )

60.00-15.00 = 45.00

45.00 x .06 = 2.70 (2.70 is your sales tax so add that to you sale price )

$45.00 + $2.70 =$47.70 Total

3 0

3 years ago

6. Which type of angle pair are LSM and OSN?

Elina [12.6K]

6. vertical

7. LSM and MSN are vertical angles

8. MSN

8 0

3 years ago

Read 2 more answers