Getting Graphic
x2 + 15x + 8 opens this way
What is up?
x2+5x
(x+5)(x)
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 ?
How many roots does y = 9x2-24x+16 have?
one
x2+5x+6 = 0
x={-3,-2}
The first step in solving the equation b2-4b=5.
What is subtracting 5 from both sides?
*DAILY DOUBLE*
This is the x coordinate for the vertex: -x2 + 6x + 12
What is x = 3?
k2+12k-45
(k+15)(k-3)
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)?
How many roots does this equation have: 2x^2-12=11x?
Two
x2-3x-10 = 0
x={5,-2}
(x+8)(-x+12)
-x2+4x+96
This is the first step in finding the minimum value of the equation f(x)=8x2-2x+1.
What is finding the axis of symmetry (by using -
b/(2a))?
A parabola can have _______, _______, or _______ x-intercepts.
What is 0, 1, or 2
b2 + 8b + 7
(b+7)(b+1)
*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 ?
What are the roots of y = x2 + 2x-8
2 and -4
x2-18x+45 = 0
x={15,3}
(-2x+6)(-x-18)
2x2+30x-108
This is the first step in finding the number of roots of y=-x2+8x-10.
What is calculating b2-4ac, also known as the discriminant?
What is the Axis of Symmetry of the following function? f(x)= 3x^2 + 18x + 2
x= -3
a6 - 64
(a - 2)( a^2 + 2a + 4)(a + 2)( a^2 - 2a + 4)
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?
What are the roots of y = x2+5x+6
the roots are -2 and -3
3x2+3x-x-1 = 0
x={1/3, -1}
(-10x+6)(x+9)
-102-84x+54
The first step in solving: f(x)=x2+10x+9. If f(3x)=f(x+3), what is x?
What is substituting 3x and x+3 into the formulas?
What is the y-intercept, and vertex of the following function? f(x)= x^2 + 6x + 3
y-int : (0,3) vertex: (-3, -3)
n3 − n2 − 9n + 9
(n + 3)(n - 3)(N - 1)
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?
How many roots does y = x2−5x−14 have?
none
11x2+18x+7 = 0
x={-1, -7/11}
(-3x+12)(-x+15)
3x2-57x+180
This is the first step in completing the square on ax2+bx+c=0.
What is dividing the equation by a?