Identifying Quadratics
Which of the following is a quadratic equation?
y=3x+2
y=x^2-4
y=4
y=x^2-4
Solve the following quadratic equation:
t^2-49=0
t=7
t=-7
Simplify
sqrt(-49)
7i
Solve for the roots of:
(x-3)^2=25
x=-2
x=8
Two Real Solutions
Quadratics can have two solutions, and so can y'all!
Earn 100 points AND choose another team to receive 100 points.
Identify the vertex:
y=(x+3)^2−5
V(−3,−5)
Find the solutions of:
3x^2=9x
x=0,3
Simplify
sqrt(-48)
4isqrt3
Find the roots of the following:
p^2+16=0
p=4i
p=-4i
You i-magined Wrong!
Your solution doesn't exist in real life. Neither do your 200 points.
You lose 200 points.
Find the x-intercepts:
y=(x+2)(x−6)
x=-2,6
Solve for g:
6g^2+7g−3=0
g=1/3
g=-3/2
Simplify
(4+3i)+(2−7i)
6−4i
Solve for x:
x^2+4x+13
x=-2+-3i
Factor Out the Competition
Choose someone to lose 300 points.
A basketball is thrown into the air. Its height, in feet, after t seconds is modeled by:
h(t)=−16t^2+48t+6
What is the maximum height of the basketball, and how long does it take to reach that height?
The basketball reaches a maximum height of 42 feet after 1.5 seconds.
Find the vertex:
y=2x^2−8x+3
V(2,-5)
Where does this equation cross the x-axis?
12x^2 − 5x = 3
x = -1/3, 3/4
Simplify
(3+2i)(4−i)
14+5i
Solve:
3n^2+6n+15=0
n=-1+-2i
The Axis of Symmetry
Just like a parabola, we're keeping things balanced!
Earn 200 points AND choose someone to receive 200 points.
Identify the vertex, axis of symmetry, and maximum value:
y=−3x^2+12x−7
V(2,5)
x=2
max=5
Solve the following quadratic equation:
2x^ 2 − 7x − 13 = −10
x=(7+-\sqrt73)/4
Simplify
5/(2+i)
2-i
Find the x-intercepts of:
2x^2 - 28x =144
x=-4,18
The Square Root Property
Every positive has a negative!
Earn 250 points AND choose another team to lose 250 points.