The parent function for the graph to the right is of the form y=ab×.write the parent function.then write a function for the translation indicated right 8 units up 3 units

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Ответ:

eden1017

27.02.2020

Mathematics

Step-by-step explanation:

Use formulas:

$r=\sqrt{x^2+y^2},$

$\cos \theta=\dfrac{x}{\sqrt{x^2+y^2}}.$

Substitute them into the equation $r=-14\cos \theta:$

$\sqrt{x^2+y^2}=-14\cdot \dfrac{x}{\sqrt{x^2+y^2}}.$

Multiply this equation by $\sqrt{x^2+y^2}:$

x^2+y^2=-14x.

Now rewrite this equation as

$x^2+14x+y^2=0,\\ \\x^2+14x+49-49+y^2=0,\\ \\(x+7)^2+y^2=49.$

This is the equation of the circle with center at point (-7,0) and radius r=7 (diameter 14).

The graph of r=-14 cos theta has which of the following characteristics?

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