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Mathematics

1 answer:

steposvetlana [31]2 years ago

5 0

The sequences of transformations that could be applied to the parent function will be:

reflect over the y-axis, vertically stretch by a factor of 3, and then shift down 1 unit
shift right 1 unit, reflect over the y-axis, and then vertically stretch by a factor of 3.
reflect over the x-axis, vertically stretch by a factor of 3, and then shift down 1 unit.

<h3>What is transformation?</h3>

A transformation of a function is a function that turns one function or graph into another, usually related function or graph.

In this case, the sequences of transformations could be applied to the parent function f(x) = x to obtain the graph of g.

Learn more about transformation on:

brainly.com/question/4289712

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What is the area of the rectangle? [1] ft2

Olenka [21]

A^2+b^2=c^2 (Pythagoran theorem)

-> 30^2 + length^2 = 78^2
-> length = √6084-900 = √5184 = 72 ft

=> area = length x width = 72 x 30 = 2160 ft^2

3 0

4 years ago

Ln a+3 + ln a-3 = ln 16

Lilit [14]

$\bf log_{{ a}}(xy)\implies log_{{ a}}(x)+log_{{ a}}(y)\\\\
and\qquad \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
-----------------------------\\\\
ln(a+3)+ln(a-3)=ln(16)\implies ln[(a+3)(a-3)]=ln(16)
\\\\\\
ln[a^2-3^2]=ln(16)\impliedby \textit{removing ln() from both sides}
\\\\\\
a^2-9=16\implies a^2=16+9\implies a^2=25
\\\\\\
a=\pm\sqrt{25}\implies a=\pm 5$