Quadratic Functions
What is the quadratic formula?
-b +- sqrt(b2 - 4ac) / 2a
Describe the transformation:
f(x + 5) - 9
Left 5, down 9
x + 2x + x2
3x + x2
x3 * x0
x3
sqrt(50)
5 * sqrt(2)
Find the x-intercepts by factoring: 2x2 - 8x + 6
X = {1, 3}
Describe the transformation:
f(-x - 1) - 1
Reflection across the y-axis, Right 1, Down 1
(2x + x2) + (-x + 2x2)
x + 3x2
x8 * (x2/x6)
x4
sqrt(198)
3 * sqrt(22)
Find the x-intercepts by factoring: 5x2 - 31
X = Approximately: {-2.5, 2.5}
3 * f(x) - 1
Vertically Stretch by 3, Down 1
(-9x + x3 + 8x2) + (9x + -x3 - 7x2)
x2
((x-9 * x5) / x-18) * x-2
x12
sqrt(156)
2 * sqrt(39)
Find the x-intercepts by factoring: 6x2 + 15x
X = {-2.5, 0}
-f(3x + 1) - 90
Reflection across the x-axis, Horizontal Compression of 3, Left 1, Down 90
(2x - 2z) * (-x - 2y)
-2x - 4xy + 2xz + 4zy
(x-3 * (x6)2) / (x-9 * x2)
x16
sqrt(1552)
4 * sqrt(97)
Convert this equation into vertex form: 7x2 - 8x + 1
y = 7(x - .25)2 + .75
-9 * f(-9x + 90) + 90
Vertical Stretch by 81, Right 90, Up 90
((2a - 2b) * (5c - d)) / 2c
5a - (ad/c) - 5b + (bd/c)
x-3 / x(x^-7/x^-7)^2 * x-6
1/x10
sqrt(1552) * sqrt(425)
20 * sqrt(1649)