Factoring
2x2-5x=0
0, 5/2
x2=36
x=6, -6
a2 + 14a - 51 = 0
{3, -17}
Determine if the function has a maximum or a minimum. Then find the value.
-x2-4x+10
Maximum @ 14
The vertex and axis of symmetry of:
y=x2-5x+12
Vertex: (2.5, 5.75)
Axis of Symmetry: x=2.5
x2-x-72=0
9, -8
x2 + 10x + 25 = 9
x=-8
x =-2
x2 − 12x + 11 = 0
{11, 1}
Determine if the function is a maximum or minimum. Then define the value.
2x2-6x-14
Minimum @ -18.5
Find the zeros and the Domain & Range:
y=x2-5x+12
Zeroes: No Real Numbers
Domain: All Real Numbers
Range: y≥5.75
7r2 + 84 = -49r
-4, -3
0 = (a - 2)2 - 2
a = 0.586
a = 3.414
x2 − 10x + 26 = 8
{7.65, 2.35}
A rocket was launched and trajectory of the rocket was determined by the following equation:
y= -16x2+200x+3
What is the highest point (in feet) reached by the rocket?
628ft
Write the quadratic equation in Vertex Form:
f(x)=x2+6x-4
f(x)=(x+3)2-13
-x2+4x-4=0
x=2
(4x + 1)2 - 8 = 0
x = 0.414
x = -2.414
n2 = 18n + 40
{20, −2}
A rocket was launched and trajectory of the rocket was determined by the following equation:
y= -16x2+200x+3
How long is the rocket in the air? Write your answer in seconds.
Draw a graph using the following equation:
f(x)=(x-2)2-14
Teacher justification.
9n2 + 39n = -36
-4/3, -3
0 = 3(x + 7)2 - 24
x = -4.17
x = -9.83
3x2+12x+6=0
x=-3.414
x=-0.586
Brady hit a baseball and the trajectory of the baseball was f(x)=-16t2+120t+4.
Cory hit a baseball and the trajectory of the baseball was f(x)=-16t2+30t+3.5.
Whose ball hits the ground first? Who hit the ball higher?
Cory's ball hit the ground first. Brady hit the ball higher.
Also, Brady's ball never hit the ground because it got caught. #PopFly Cory got a double.
The solution of the systems:
f(x)=x2-1
f(x)=2x2+6x-8
(1,0)