Find that vertex!
Find the vertex of the parabola:
3y = (x+7)2 + 12
(-7, 4)
(3i)(8i)=
-24
(3x8)=24 (ixi)=i2=-1
(24)(-1)
Identify the AOS, max or min. Graph it.
y = (x + 3)2 - 5
AOS: x = -3
Min at -5
x2 + 40 = 4
6i, -6i
Find the vertex of the parabola:
y - 6 = (x - 2)2 + 1
(2, 7)
(2+4i)(3+5i)=
-14+22i
Foil: 6+10i+12i+20i2
Combine like terms: 6+22i+20i2
Simplify i2: 6+22i-20
Combine again:
Identify the AOS, max or min, x-intercepts, and y-intercept.
y = 4x2 - 100
AOS: x = 0. Min at -100
(5, 0), (-5, 0), (0, -100)
x2 + 41 = 10x
5 + 4i, 5 - 4i
Find the vertex of the parabola:
y = (x + 9)(x + 1)
Vertex (-5, -16)
(2-4i)(3-5i)=
-14-22i
Foil:6-10i-12i+20i2
Simplify: 6-22i-20
Combine like terms:
Identify the AOS, max or min, x-intercepts, and y-intercept.
y = x2 + 2x - 63
x = -1, Min at -64
(7, 0), (-9, 0), (0, -63)
x2 + 8x + 41 = 0
-4 + 5i, -4 - 5i
Find the vertex of the parabola:
y = (x + 10)(x - 2)
(-4, -36)
5i / (2-4i)
-1 + 1/2 i
Identify the AOS, max or min, x-intercepts, and y-intercept.
y = -2x2 + 16x - 32
AOS: x = 4, max at 0
(4, 0) and (0, -32)
Show TWO ways to solve
x2 - 6x + 45 = 0
3 + 6i, 3 - 6i
Find the vertex of the parabola:
y = x2 + 12x + 100
vertex (-6, 64)
Multiply (-5 + 7i) by its conjugate
(-5 + 7i)(-5 - 7i) = 74
Write the equation of a parabola with x-intercepts 2 and -5 that goes through (1,-24). Use standard form.
y = 4(x - 2)(x + 5)
y = 4x2 + 12x - 40
Show TWO ways to solve
x2 + 130 = 9
11i, -11i