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grandymaker [24]
3 years ago
8

1 3.1.5 Quiz: Comparing Functions

Mathematics
1 answer:
Burka [1]3 years ago
7 0

Answer:

the statements are not written here .

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Disregard my work, but how do you get the answer? There is also a graph at the bottom which is optional to use.
kakasveta [241]
\bf ~~~~~~~~~~~~\textit{function transformations}
\\\\\\
% templates
f(x)=  A(  Bx+  C)+  D
\\\\
~~~~y=  A(  Bx+  C)+  D
\\\\
f(x)=  A\sqrt{  Bx+  C}+  D
\\\\
f(x)=  A(\mathbb{R})^{  Bx+  C}+  D
\\\\
f(x)=  A sin\left( B x+  C  \right)+  D
\\\\
--------------------

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

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

with that template in mind.

since the original or "parent" function is y = x²−4x+3, if we change the "x" argument to "x-2", we end up with a horizontal shift.

the x-2 part would be in the template the Bx+C part, with B = 1 and C = -2, or a horizontal shift to the right of 2/1 or 2 units.

since the parent function has a point at (2, -1), if we move that horizontally only to the right, we'd end up at (4, -1).
7 0
4 years ago
1/2(x-6.5) = 3.16 what is x?
cricket20 [7]

Answer:

x =12.82

Step-by-step explanation:

1/2(x-6.5) = 3.16

Multiply each side by 2

1/2(x-6.5) *2 = 3.16 *2

(x-6.5) = 6.32

Add 6.5 to each side

(x-6.5+6.5) = 6.32+ 6.5

x =12.82

5 0
3 years ago
Read 2 more answers
Line J M is the perpendicular bisector of LK.
jolli1 [7]

Answer:

LN and NK

Step-by-step explanation:

A perpendicular bisector of a line segment divides the line segment into 2 equal halves.

Here, line JM is a perpendicular bisector of line segment LK at point N. So, line JM divides the line segment LK into 2 equal halves.

The two equal halves are segment LN and segment NK.

Therefore, segment LN is congruent to segment NK.

3 0
3 years ago
Read 2 more answers
Write a expression for 18.68+11.72+19.76+18.68
Ilia_Sergeevich [38]

<u>ANSWER:  </u>

The simplified form of the given expression 18.68+11.72+19.76+18.68 after applying BODMAS rule is 4684.

<u> SOLUTION: </u>

The expression given to us is <em>18.68+11.72+19.76+18.68.</em> We are to simplify the equation.

To simplify the equation we have to follow the BODMAS rule.

Which sets different mathematical operations at different levels of priority.

BODMAS mean brackets, of, division, multiplication, addition and subtraction.

To solve different mathematical equations we have to follow this order of priority to get the correct answer.

Now applying BODMAS rule to the given expression we have to solve it to get an answer.

18.68+11.72+19.76+18.68

As the rule states we have to do multiplication before addition. Therefore,

1224+792+1444+1224

Now pursuing the equation for addition we get

2016+2668=4684

Hence the simplified form of the given expression after applying BODMAS rule is 4684.

3 0
3 years ago
Spencer Ward purchased a new riding mower for $1,989. He made a 15% down payment and financed the remainder. What amount did he
Ostrovityanka [42]
The amount of the down payment is
1,989×0.15=298.35

Amount financed is
1,989−298.35=1,690.65
4 0
3 years ago
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