Quadratic Functions Random
Creating The Quadratic Equation
Transformations
Describe The Changes
100

Is this function reflected across the x-axis? g(x) = 1/2(x+3)-2

No

100

This Quadratic Function has been shifted to the left 5 units and down ten units.

(x+5)^2-10

100

This gives the vertical stretch factor in the vertex form, f(x) = a(x-h)^2 + k, of a quadratic function.

 "a"

100

m(x) = (x -5)^2 +2

Shifted right 5 and up two

200

Stretched or compressed? g(x)= 1/4(x^2 +3) -4

Compressed 

200

This Quadratic Function has been reflected over the x-axis, then moved up three units.

-x^2+3

200

The transformation of the function f(x) = x^2 + 5

Vertical translation of five units up

200

M(x) = -(x^2) +4

Reflected across the x-axis and shifted up four

300

Stretched or Compressed? F(x) = 2(x^2 - 3) +5

Stretched

300

This Quadratic Function has been shifted three units to the left and down two units.

(x+3)^2-2

300

The transformations of the function f(x) = -(x-3)^2?

A reflection in the x-axis and a horizontal translation of 3 units to the right

300

f(x) = -3(x+5)^2 - 1

Reflected across the x- axis, Stretched vertically by 3, shifted left five, and down one

400

Stretched or Compressed? M(x) = 3(x^2 -6) +8

Stretched 

400

This Quadratic Function has been vertically compressed by 1/4, and shifted up four units.

1/4x^2+4

400

These are the transformations of the function f(x) = 3(x - 5)^2 -8

A vertical stretch by a factor of 3, a horizontal translation five units to the right and a vertical translation 8 units down

400

f(x) = 1/3(x + 5)^2 -3

Compressed horizontally by 3, shifted left five, and down three.

500

Stretched or Compressed? m(x) = -(x^2 +4) -7

Neither

500

This Quadratic Function has been vertically Compressed by 5, shifted two units to the right, and up six.

1/5(x -2)^2 +6

500

This portion moves the function left or right in the quadratic "generic" form? G(x) = a(x - h)^2 + k (v)

h

500

m(x) = -(x-5)^2  +3

Reflected across the x-axis, shifted right 5, and up three.

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