Extra Credit Final A
#3 (correct): Write the standard form of the equation of the circle of radius r=6, and center (h,k)=(0,0).
Describe each step using words
Solve the equation symbolically
The standard form of a circle is
(x-h)^2+(y-k)^2=r^2, to solve we want to plug the given h,k, and r factors into the equation
(x-0)^2+(y-0)^2=6^2
Simplify the equation to get final answer
x^2+y^2=36
The final answer is x^2+y^2=36
#13 (partially incorrect): Graph the equation y=x^2-8x-4 by plotting the points [x= 2,3,4,5]
Describe each step using words
Solve the equation symbolically
First, we need to evaluate the ordered pairs by plugging our x values into the equation.
Y= 2 ^2 – 8(2) – 4 = (2,-16)
Y= 3 ^2 – 8(3) – 4 = (3,-19)
Y= 4 ^2 – 8(4) – 4 = (4,-20)
Y= 5 ^2 – 8(5) – 4 = (5,-19)
Next we plot the parabola with the completed ordered pairs. The final equation graphed should look like this. Answer: The main parts of this questions was solving for the ordered pairs and graphing the equation. I got this answer partially incorrect because the closing parenthesis was not on the last ordered pair value I submitted. I answered (5,-19 and the correct form would be (5,-19).
