r^2 = -9r - 8
r=-8 or r=-1
n^2 + 2n - 67 = -4
n=7 or n=-9
8x^2 + 5 = 101
x=+-2sqrt3
Write a quadratic equation in vertex form whose graph has the vertex (9,-10) and passes through (11,-14).
y=-(x-9)^2-10
Find the y-intercept.
y= 2x^2 - 10x - 9
(0, -9)
4x^2 - 24 = -4x
x=2 or x=-3
11n^2 - 5n = 9
n=(5+-sqrt421)/22
3n^2 - 3 = 282
n=+-sqrt95
Write a quadratic equation in vertex form.
y=x^2+12x-3
y=(x+6)^2-39
Find the vertex.
y= x^2 - 8x + 17
Vertex: (4,1)
-2n^2 - 4n = -3
x=(-2+-sqrt10)/2
v^2 + 5v = 14
v=2 or v=-7
3x^2 - 4 = -33
No real solution
Write a quadratic function in standard form.
y=3(x+6)^2-4
y=3x^2+36x+104
Write a quadratic function in vertex form.
y=2x^2-20x+1
y=2(x-5)^2-49
n^2 + 4n - 3 = 3
n=-2+-sqrt10
9x^2 - 5 = 5x
x=(5+-sqrt205)/18
x^2 = -x
x=-1 or x=0
Find the axis of symmetry.
y= -x^2 + 2x - 1 = 0
x = 1
Write a quadratic equation in vertex form whose graph has the vertex (-9,10) and passes through (-7,8).
y=-1/2(x+9)^2+10
x^2 + 8x - 28 = -8
x=2 or x=-10
2v^2 = -21v - 40
v=-5 / 2 or v= -8
35n^2 = 154n - 56
n=2/5 or n=4
What is Ms. Bena's favorite sport team?
SF Giants
Suppose a ball is batted with an initial upward velocity of 26 meters per second from an initial height of 1 meter. Estimate when the ball is 5 meters high.
5.04 seconds