Algebra Linear Function Transformation

y

$$\ge$$  

-2

+3

<

$$\le$$  

<

2

1/2

-1/2

$$g\left(x\right)\ =\ -\left(x+2\right)^2$$  

$$g\left(x\right)\ =\ 2x^2\ -2$$  

$$g\left(x\right)\ =\ 2\left(x^2\ -\ 2\right)$$  

$$g\left(x\right)\ =\ -\left(x^2\ -\ 2\right)$$  

$$g\left(x\right)\ =\ -x^2\ -\ 2$$  

$$g\left(x\right)\ =\ -\left(x^2\ +\ 2\right)$$  

g(x) is shifted up 6 units

g(x) is shifted down 6 units

g(x) is shifted left 6 units

g(x) is shifted right 6 units

vertical stretch factor 2 and translate up 3

vertical stretch factor 2 and translate left 3

vertical stretch factor 2 and translate down 3

translate right 2 and up three

The slope changes by a factor of 2 and the y-intercept does not change.

Both the slope and y-intercept change by a factor of 2.

The slope does not change. The y-intercept changes by a factor of 2.

The slope and y-intercept DO NOT change.

The slope and y-intercept DO NOT change.

The slope changes by a factor of -6 and the y-intercept does not change.

The slope and y-intercept change by a factor of -6.

The slope does not change. The y-intercept changes by a decrease of 6.

g(x) is shifted up 3 units

g(x) is shifted down 3 units

g(x) is shifted left 3 units

g(x) is shifted right 3 units

g(x) is shifted up 3 units

g(x) is shifted down 3 units

g(x) is shifted left 3 units

g(x) is shifted right 3 units

horizontal

vertical

horizontal

vertical