Question

The team first experiments with changing the position of the curved pit. In the computer program, the vertex begins on the origin, and the curve is modeled by the parent quadratic equation, y = x2.

Match each description with the equation that will create that pit.

Tiles
The curved pit is shifted right 2 units.
The curved pit is shifted up 2 units.
The curved pit is shifted down 2 units.
The curved pit is shifted left 2 units.
(Pair them up)
y = (x − 2)2

y = x2 + 2

y = (x + 2)2

y = x2 − 2

Answer 1

The curved pit is shifted up 2 units - y= x^2 +2

The curved pit is shifted down 2 units - y= x^2 - 2

The curved pit is shifted left 2 units - y= (x-2)^2

The curved pit is shifted right 2 units - y= (x+2)^2

Explanation:

Given the parent function expressed as

y is the output function (can be shifted along the y-axis)

x is the input function (can be shifted along the x-axis)

If the curved pit is shifted up 2 units, the whole curve will be shifted up to have the resulting function

If the curved pit is shifted down 2 units, the whole curve will be shifted down to have the resulting function

If the curved pit is shifted left 2 units, the shift will only affect the input value to have the resulting function

If the curved pit is shifted right 2 units, the shift will only affect the input value to have the resulting function