Standard form equation circle
What does C(h, k) represent in the equation of a circle?
x and y value of center
What should be in the blank when completing the square?
x^2 + y^2 - 10x + 6y + 30 = 0
(x^2 - 10x +__)+(y^2 + 6y + __)
25, 9
What does p represent in a parabola?
Distance from vertex to focus or directrix.
Lines and parabola can have ___, ___ or ___ solutions.
0, 1, 2
What are we doing when we substitute a variable?
Replacing a variable with a value or expression.
What does r represent in the equation of a circle?
radius
Simplify into one binomial
x^2 - 10x +25
(x-5)^2
Which direction would a parabola open if x^2=-4py?
down
Use a calculator to determine y=2(x+1)^2-6 when x = -1
y = -6
Determine the value of x when substituting y=3 and z=3
-2x+y+3z=20
x = -4
What is the vertex of (x-3)^2+(y+2)^2=4?
(3, -2)
Simplify into one binomial
y^2 + 6y + 9
(y+3)^2
Which direction would a parabola open if y^2=4px?
Right
Which direction would the parabola open if given the equation: y=2(x+1)^2-6
Up
Determine the value of y when substituting x=1 and z=1
2x+y-z=4
y=3
What is the radius of (x+3)^2+(y-2)^2=16?
4
What is the center of the circle?
(x-5)^2 + (y+3)^2 = 4
C(5, -3)
What is the value of p when y^2=-32x?
p=-8
Convert 2x-y=3 into slope-intercept form.
y=2x-3
Daily Double:
You may risk up to all of your points. If you are correct, the amount you risk is what you gain or lose depending if you correct or wrong.
What is the solution of:
y=-3x+4
y=3x-2
What is the equation of a circle with center C(1, -4) and radius =2?
(x-1)^2+(y+4)^2=4
What is the center and radius of the equation below?
4x^2 + 4y^2 +8x - 16y + 11 = 0
Center: (-1, 2)
Radius: 3/2
If a parabola has a focus of (0, -2) and directrix y=2 the directrix would be ____
Horizontal
What is the vertex of the parabola y=1/2(x-3)^2
(3,0)
what is the solution of:
x-y=3
7x-y=-3
(-1, -4)