Algebra 2 Chapter 2!

Describe the Transformation

100

g(x)= x - 8

What is a vertical shift down 8 units?

200

g(x) = (x-9) +1

What is a horizontal shift 9 units right and up 1 unit?

300

g(x) = -x-5

What is a vertical shift 5 units down and reflected over the x-axis

400

f(X) = (-x-5)

What is a horizontal shift 5 units right and reflected over the y axis?

500

g(X)= 3x+15

What is a vertical shift 15 units up and vertically stretched by 3?

Give the Parent Function

100

g(x) =x² + 8

What is f(X) =x ²

200

g(X) = sin(x+3)

What is f(X) = sin(x)

300

g(X)= 5x-4

f(x)=x

400

g(x)= ln(x)-9

f(X)= ln(X)

500

g(x)= 1/(X-3)

f(x)=1/x

Find the Vertex

100

g(X)= 5(x-3)²+8

what is (3,8)?

200

g(X)= -(x-4)²-2

what is (4,-2)?

300

f(X)= 2x²-4x+3

(1, 1)

400

f(X) = x²+4x

what is (-2, -4)

500

f(x)= x²-8

What is (0,-8)?

Find the Roots by Factoring

100

x²-7x-8=0

x=8, -1

200

x²-144=0

x=12, -12

300

x²+6x+9=0

x=-3

400

x²+14x-32=0

x=-16,2

500

x²-21x=0

x=0, 21

Find Zeros by Quadratic Formula

100

f(x)=x²-3x-8

x=(3+ sqrt(41))/2, (3- sqrt(41))/2

200

x²+4x+3=g(X)

x=-3,-1

300

x²+8x+7=g(X)

x=-7, -1

400

x²+5x+6=g(x)

x=-3.-2

500

x²-10x+25

x=5