Factoring
Square Roots
Quadratic Formula
Writing Quadratics
100
x^2-10x+21=0
x={3,7}
100
5x^2-11=234
x=+-7
100
Solve the following quadratic equation by using the quadratic formula: x2 + 6x + 5 = 0
x = -1, x = -5
100
Write the equation in vertex form for the graph below.
y=3(x - 1)2 - 4
200
x^2+23x-50=0
x={-25,2}
200
9x^2-225=0
x={-3,3}
200
-2x^2+3x=4x-15
x={-3,5/2}
200
Write a quadratic function in vertex form with a vertex at (2,-4) and passes through the point (1,-7).
y=-3(x-2)^2-4
300
3x^2-13x-30=0
x={-5/3,6}
300
x^2-1=39
x=+-sqrt40
300
x^2-9=4x
x={2+-sqrt13}
300
x2 + 6x
400
3x^2=81-x^2
x={-9/2,9/2}
400
4(x-6)^2=32
x=6+-sqrt8
400
-3x^2+8x-7=0
x={(4+-isqrt5)/3}
400
Use the table to write an equation for the quadratic.
𝑓(𝑥) = 2 (𝑥 − 1) 2 + 2
500
2x^2=x+21
x={-3,7/2}
500
-2(x-196)^2-26=0
no solution
500
3x^2+x=-2x-7
No Solution
500
A running company analyzes data from the years 2007 to 2014 to help inform the company about trends. In 2011, 4 years into the study, the maximum number of runners was recorded at 1,000. In 2009, there were 986 runners recorded.
Write a quadratic equation for the context.
y = -3.5(x - 2011)2 + 1000