Geo Quiz 4-20 to 4-29-20

Which of the following are written as the equation of a circle in standard form. "Select all that Apply"

• $x^2+y^2=\left(r\right)^2$

• $Ax^2+Bx+c$

• y=mx+b

• $\left(x-h\right)^2+\left(y-k\right)^2=\left(r\right)^2$

• $e=mc^2$

 $Given\ the\ equation\ \left(x-3\right)^2+\left(y+6\right)^2=64$  Determine the center of the circle

• (-3,6)

• (-6,3)

• (3,-6)

• (6,-3)

Which of the following equations would model the graph

• $\left(x+1\right)^2+\left(y-3\right)^2=2^2$

• $x^2+y^2=2^2$

• $\left(x-1\right)^2+\left(y+3\right)^2=2^2$

• $\left(x-3\right)^2+\left(y+1\right)^2=2^2$

Identify the graph that models the equation  $\left(x-3\right)^2+\left(y+5\right)^2=\left(2\right)^2$  

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Which of following equations would represent the following square diagram "Select all that apply"

•  $x^{2\ }+3x+3x+3\left(3\right)$  

•  $x\left(x\right)+x+x+x+x+x+x+3^2$  

•  $6x^2+3x+6$  

•  $x^2+6x+9$  

•  $x^2+6x^2+3$  

Write the following equation $-6x=-5-y^2-x^2$   in standard form:

•  $\left(x-3\right)^2+y^2=2^2$  

•  $x^2+\left(y+4\right)^2=3^2$  

•  $x^2+\left(y-2\right)^2=4^2$  

•  $\left(x+1\right)^2+y^2=5^2$  

Which graph models the equation  $y^2=-2x-x^2+15$  

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Which of the following equations is written in standard form if the center of the circle is (-6,8) and the radius is 5

• $\left(x-6\right)^2+\left(y-8\right)^2=\left(5\right)^2$

• $\left(x+6\right)^2+\left(y-8\right)^2=\left(5\right)^2$

• $\left(x+8\right)^2+\left(y+6\right)^2=25$

• $\left(x-8\right)^2+\left(y-6\right)^2=25$