The standard form of a complex number
What is a+bi?
The sketch of the graph of y> x2 + 3x - 4
What is
This is the formula for the discriminant of the quadratic ax² + bx + c.
What is b² - 4ac?
This number is added to the binomial to complete the square x2 + 22x
What is 121?
This equation represents a quadratic equation in vertex form
What is y=a(x-h)² + k ?
*DAILY DOUBLE*
The solution to the equation 2x²+11=-37
What is x = ± 2i√6?
The algebraic solution to x2 - 2x > 15
What is x<-3 or x>5?
This formula can find the solutions of any quadratic function
What is x = [-b ± √(b²-4ac)]/ 2a ?
This is the vertex form of the quadratic equation below using the process of completing the square
Y = x2 +8x +3
What is y= (x+4)2 - 13?
This quadratic equation has the x-intercepts -7 and -3 and passes through (-1,12)
What is y=(x+7)(x+3)?
The equivalent simplified expression of 10 - (6+7i) +4i
What is 4-3i?
True or false: (1,1) is a solution to y< x2+4 and y>x2-2x-3
What is true?
*Daily Double*
When you have this type of discriminant, you should expect non-real solutions to your quadratic equation.
What is negative?
This is the vertex form of the quadratic equation below using the process of completing the square
y= 3x2 -12x+1
What is y = 3(x-2)2 - 11?
This quadratic equation has a vertex of (-3,-2) and passes through (1,-10)
What is y= -0.5(x+3)² -2 ?
The simplified product of (9-2i) and (-4+7i)
What is -22+71i?
The graph of the inequality y > 4x2 -3x - 5
What is
If your discriminant is this number, your quadratic equation has only one solution, not two.
What is zero?
The answer to the equation found by completing the square x2 -2x-10 = 0
What is x=1 ± √11?
A grenade is fired from the top of a tower so that its height is given by the equation h(t) = -16t² + 64t + 200, where t is measured in seconds. The grenade reaches its highest point at this time.
What is t=2?
The simplified quotient of (7+5i) / (1-4i)
What is (-13/17) + (33i/17)?
This solved inequality (rounded to the nearest tenth) shows the values of x where a soccer ball will go into an 8 foot high goal when the flight of the ball is y = -0.0540x2 +1.43x
x < 8.0 or x > 18.5
Let's be rational - just like your solutions will be if the discriminant is this kind of number.
What is a perfect square?
The solution to the equation found by completing the square x2-3x-7=0
What is x= (3 ± √37) / 2 ?
x= 3 plus or minus the square root of 37 all over 2
This quadratic function in standard form passes through (-1,-3), (0,-4), and (2,6).
What is y = 2x² + x - 4?