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wlad13 [49]
2 years ago
15

How do I graph h(x) = 4|x+4| +3

Mathematics
1 answer:
Katarina [22]2 years ago
4 0

Answer:

Move the point on the diagonal to (1,4) then move the vertex 4 units left and 3 units upwards

Step-by-step explanation:

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Which sentence illustrates the distributive property?
Citrus2011 [14]

I believe that C is correct!

3 0
3 years ago
Read 2 more answers
The graph of g(x) = -x^2 is shifted 3 units left and 1 unit up. If this new graph is f(x), then what is the value of f(-1.5)
kondor19780726 [428]
\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\
% left side templates
\begin{array}{llll}
f(x)=&{{  A}}({{  B}}x+{{  C}})+{{  D}}
\\ \quad \\
y=&{{  A}}({{  B}}x+{{  C}})+{{  D}}
\\ \quad \\
f(x)=&{{  A}}\sqrt{{{  B}}x+{{  C}}}+{{  D}}
\\ \quad \\
f(x)=&{{  A}}(\mathbb{R})^{{{  B}}x+{{  C}}}+{{  D}}
\\ \quad \\
f(x)=&{{  A}} sin\left({{ B }}x+{{  C}}  \right)+{{  D}}
\end{array}\\\\
--------------------\\\\

\bf \bullet \textit{ stretches or shrinks horizontally by  } {{  A}}\cdot {{  B}}\\\\
\bullet \textit{ flips it upside-down if }{{  A}}\textit{ is negative}\\
\left. \qquad   \right.  \textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if }{{  B}}\textit{ is negative}\\
\left. \qquad   \right.  \textit{reflection over the y-axis}

\bf \bullet \textit{ horizontal shift by }\frac{{{  C}}}{{{  B}}}\\
\left. \qquad  \right. if\ \frac{{{  C}}}{{{  B}}}\textit{ is negative, to the right}\\\\
\left. \qquad  \right.  if\ \frac{{{  C}}}{{{  B}}}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by }{{  D}}\\
\left. \qquad  \right. if\ {{  D}}\textit{ is negative, downwards}\\\\
\left. \qquad  \right. if\ {{  D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{  B}}}

with that template in mind, let's see.

to the left by 3 units, C = +3
up by 1  unit, D = 1

\bf g(x)=-x^2\\\\\\ g(x)=-1(1x+\stackrel{C}{0})^2+\stackrel{D}{0}\implies g(x)=-1(1x+3)^2+1
\\\\\\
g(x)=-(x+3)^2+1\impliedby f(x)\qquad \qquad f(-1.5)=-[(-1.5)+3]^2+1

and surely you know how much that is.
5 0
4 years ago
Mr. Lin received a box of books in the shape of a rectangular prism. The volume of the box is 486 in 3. What is the width of the
GREYUIT [131]

Answer:

W = 9 inches.

Step-by-step explanation:

The volume of a rectangular prism is given by

V=whl

Where

w,h and l re width, height and length of rectangular prism

It is not mentioned that a box has a length of 18 inches and a height of 3 inches.

Using above formula.

486=w\times 18\times 3\\\\486=54w\\\\w=9\ \text{inches}

So, the width of the box is 9 inches.

5 0
3 years ago
Write four different expressions for the perimeter of a pentagon whose sides are all s-2 units long
igor_vitrenko [27]

Answer:  The answers are given below.

 

Step-by-step explanation:  Given that all the sides of a pentagon are (s-2) units long. This clearly tells us that the pentagon is a regular one with each side equal to (s-2) units.

We are to write the perimeter of the pentagon in four different expressions.

Let 'P' represents the perimeter of the pentagon.

Since it is a regular pentagon, we can write the perimeter in following four expressions.

P = (s-2) + (s-2) + (s-2) + (s-2) + (s-2),

  = 5 × (s-2),

  = 5s - 10,

  = 5s - 5×2.

Thus, these are the four expressions for the perimeter of the pentagon.

   


6 0
3 years ago
building across the street casts a shadow that is 24 feet long. Your friend is 6 feet tall and casts a shadow that is 4 feet lon
atroni [7]

Answer:

6/4=b/24

1.5=b/24

24(1.5)=b

36=b

Building is 36 ft tall

Step-by-step explanation:

3 0
2 years ago
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