algebra 2 test 9/10-11/20

Parent function: f(x)=-6/5x+2

Linear

Parent function: f(x)=x-4

Linear

Parent function: f(x)=-1/2(x+1)^2

Quadratic

Parent function: f(x)=-x^2+8x-14

Quadratic

f(x)=-2IxI+4

Vertex: (0,4) Domain: {R} Range: {yIy< (or equal to) 4}

f(x)=Ix-2I-7

Vertex: (2,-7) Domain: {R} Range: {yIy> (or equal to) -7}

transformation rule: f(x)-k

down "k"

vertex form of a quadratic function

f(x) = a(x-h)^2 + k

Reflected about the x-axis, then shifted five units left.

f(x)=- Ix+5I

reflected across the x-axis, vertically compressed by a factor of one-half, then shifted four units left and six units down

f(x)=-1/2(x+4)-6

Vertically compressed by a factor of one third, then shifted one unit up and two units right.

f(x)=1/3 Ix-2I +1

vertically stretched by a factor of four and shifted seven units right

f(x)=4(x-7)^2

Absolute value parent function

f(x)=IxI

standard form of a quadratic function

f(x)=ax^2+bx+c

Linear parent function

f(x)=x

Quadratic Parent Function

f(x)=x^2

transformation rule: f(x+h)

left "h"

transformation rule: -f(x)

reflection across x-axis

transformation rule: f(x-h)

right "h"

transformation rule: f(x)+k

up "k"

transformation rule: a x f(x) when IaI < 1

vertical compression

transformation rule: a x f(x) when IaI > 1

vertical stretch