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timofeeve [1]
3 years ago
14

Suppose f(x) = x³ . find the graph of f(x+5)

Mathematics
2 answers:
Ganezh [65]3 years ago
5 0
\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}

\bf ~~~~~~\textit{reflection over the y-axis}
\\\\
\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}

and with that template in mind,

notice from a parent function of   f(x) = x³,
a derived function with f(x+5) = (x + 5)³

has a C component of 5, C = 5, which means is the as the parent, just shifted to the left by 5 units.
Sedaia [141]3 years ago
5 0
To move a function to the left by c units, add c to every xso f(x) shifted to the left by 5 units is f(x+5)
for f(x)=x^3, the shifted graph would be f(x+5)=(x+5)^3 it would be the same graph except that it's shifted to the left 5 units ( passes through (-5,0) instead of (0,0) )

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Given a line segment with endpoints A(16, 8) and B(1, 3) what are the coordinates of the
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The line segment partitioned two-fifths from A to B is (10,6)

Step-by-step explanation:

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To measure the (2/5) difference we will multiply (-15,-5) with  (2/5) which is equal to (-6,-2)

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Point of division = (16,8)+(-6,-2)

Point of division = (16-6, 8-2)

Point of division = (10,6)

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5 less than 3 times a number is 7. How would I write this as an equation
sladkih [1.3K]
You want to break this down.

“5 less than” means you’ll subtract 5 from something.

That something is “3 times a number.” “3 times a number” means 3•x or 3x, since we’ll use x for that unknown number.

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5 0
3 years ago
Read 2 more answers
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