Answer:
Step-by-step explanation:
to solve an equation by completing the square in a quadratic formula
f(x)=ax²+bx+c
example :x²-6x-16=0
first rearrange if necessary, move the constant to one side .
x²-6x=16
second you find a new term to complete the square which is (b/2)², and add the term to both sides.(6/2)²=3²=9
x²-6x+9=16+9
x²-6x+9=25
third factorize : find the common factor between 6 and 9 which is 3
x²-6x+9=25
(x-3)²=25
last solve for x: (x-3)²=25
x-3=√25
x=3±5
x=3+5=8 or 3-5=-2
Answer:
0.0071164
Step-by-step explanation:
Answer: A result of shifting a circle with equation (x+3)^2+(y-2)^2=36 up 3 units is: (x+3)^2+(y-5)^2=36
To shift a graph "a" units up, we must replace in the equation "y" by "y-a" when y is not isolated; or if y is isolated, you add "a" to the right side of the equation.
In this case we want to shift the graph of the circle 3 units up, then a=3, and we must replace in the equation of the circle "y" by "y-3":
(x+3)^2+[(y-3)-2]^2=36→
(x+3)^2+(y-3-2)^2=36→
(x+3)^2+(y-5)^2=36
Answer: A result of shifting a circle with equation (x+3)^2+(y-2)^2=36 up 3 units is: (x+3)^2+(y-5)^2=36
Answer:
![x=3](https://tex.z-dn.net/?f=x%3D3)
Step-by-step explanation:
![x+3=6](https://tex.z-dn.net/?f=x%2B3%3D6)
Subtract 3 from both sides:
![x+3-3=6-3\\x=3](https://tex.z-dn.net/?f=x%2B3-3%3D6-3%5C%5Cx%3D3)
Hope this helps!
TestedHyperr
Answer:
The answer is rotation.
Step-by-step explanation:
Translation, reflection, and dilation nice differently than the picture shows.