Axis of Symmetry
Find the axis of symmetry: y = x² – 8x + 12
x = 4
Find the vertex: y= x² + 2x
(-1, -1)
Find the roots: y = x² – 5x – 24
-3 and 8
x² – 5x – 24 = 0
-3 and 8
x² – x – 20 = 0
-4 and 5
Find the axis of symmetry: y = 3x² + 12x + 2
x = - 2
Find the vertex: -3x² + 4
(0, 4)
Find the roots: y = 5n² + 2n + 6
no real roots
x² + x – 2 = 0
-2 and 1
2x² + 5x – 7 = 0
-3.5 and 1
Find the axis of symmetry: y = -2x² + 6x + 7
x = 1.5
Find the vertex: y = -2x² + 1
(0, 1)
Find the roots: y = 2x² + 5x
(-2.5, 0)
x² – 12x + 36 = 0
6
2x² – 3x + 1 = 0
0.5 and 1
Find the axis of symmetry: y = ½x² + 5x – 4
x = -5
Find the vertex: y = x² + 6x + 9
(-3, 0)
Find the roots: y = 2x² + 8x + 8
-2
r² + 4r – 12 = 0
-6 and 2
2x² + 6x + 12 = 0
no real solution
Find the axis of symmetry: 2x² + 5 = 10x
x = 2.5
Find the vertex: x² – 3x – 4
(3/2, -25/4) or (1.5, -6.25)
Find the roots: y = 8x² + 17x + 2
-2 and -0.125
x² – 10x = -21
3 and 7
4y² + 7y = 15
-3 and 1.25