QUADRATIC FORMULA
What part of the quadratic formula can you use to determine the number of solutions?
b2 - 4ac
discriminant
What are 2 other names for the solutions to a quadratic equation?
Zeros and x-intercepts
Solve the Quadratic: x2+6x+5=0
(Find the zeros)
x=-1,-5
What value of "c" will make this a perfect square trinomial?
x2 + 30x + c
225
What formula can you use to find the axis of symmetry when a quadratic is in standard form?
x = -b/2a
How many x-intercepts does a quadratic have if the discriminant is 0?
ONE
What is the shape of a quadratic equation called?
Parabola
Solve the Quadratic: X2-6x=0
(Find the Zeros)
x=0,6
Solve by completing the Square: x2-6x-4=0
x= -.606, 6.606
What is the maximum of the parabola?
f(x) = -2(x + 4)2 + 7
7
Find the discriminant and determine the number of zeros: 2x2+5x=7=0
-31 and NO REAL SOLUTIONS
Name the methods to find the solutions to a quadratic equation?
Factoring
Graphing
Completing The Square
Quadratic Formula
Square Rooting
Solve the Quadratic: x2-10x+28=0
(Find the Zeros)
No Solution
Solve by completing the square: x2+14x-6=0
x = -14.416 and .416
Write the equation in vertex form.
f(x) = x2 +10x + 8
f(x) = (x + 5)2 - 17
Solve using the Quadratic Formula x2-6x+3=0
X=5.45, 0.55
What are 2 other names for the solutions to a quadratic equations?
Zeros and X-intercepts
Solve the Quadratic: x2-14x+44 = 0
(Find the Zeros)
x=9.236, 4.764
Solve by completing the square x2+8x+4=0
x= -7.464 and -.536
Write the function in vertex form.
f(x) = 3x2+12x+16
f(x) = 3(x+2)2 + 4
Solve by using the Quadratic Formula 5x2+x-4=0
X= -1, .8
For which methods of solving does the quadratic equation HAVE to equal 0?
Graphing
Quadratic Formula
Factoring
Solve the Quadratic: x2+16x+54=0
(Find the Zeros)
x=-4.838, -11.162
Solve: x2 +12x+36=0
x= -6
Find the Vertex f(x) = x2 - 9
Vertex: (0,-9)