11 12 Simplify the expression 5 2i 8 11i 14 5i2 Write e

#11 & 12

Simplify the expression. (5 - 2i) - (8 - 11i) (14 - 5i)^2 Write each equation in vertex form. Then identify the vertex, axis of symmetry, and direction of opening. y = x^2 + 10x + 27 y = -9x^2 + 54x - 8 Graph each inequality (x - 5)(x + 7)

Solution

11) y = x^2 +10x + 27

y = (x+5)^2 -25 +27

y = (x+5)^2 +2

Vertex form of equation : y = a(x-h)^2 +k

comparing with std equation : h = -5 ; k = 2

(-5 , 2)

Upward facing parabola

Axis of symmetry: x= -5

12) y = -9x^2 +54x -8

y = -9(x^2 -6x) -8

= -9(x^2 -6x+9) +81 -8

= -9(x -3)^2 + 73

Vertex form of equation : y = a(x-h)^2 +k

comparing with std equation : h = 3 ; k = 73

Parabola is downward facing

Axis of symmetry: x= 3