Transformations of Quadratic Function in Table

Which transformation transforms the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a vertical shift 4 units up

• a vertical shift 4 units down

• a horizontal shift 4 units to the left

• a horizontal shift 4 units to the right

Which of the following describes the transformations done to the quadratic parent function of f(x) = x² to obtain g(x) = 2x² + 4 ?

• Vertical Stretch by a factor of 2 and vertical shift up 4 units

• Vertical Shrink/Compress by a factor 2 and vertical shift up 4

• Vertical Stretch by a factor of 2 and horizontal shift left 4 units

• Vertical Shrink/Compress by a factor of 2 and horizontal shift right 4 units

The table shows values of quadratic function h. Using the table as reference, how does the graph of the function h compare to the graph of the parent function?

• The function h(x) is reflected across the x-axis

• The function h(x) is reflected across the y-axis

• The function h(x) is shifted 5 units down

• The function h(x) is shifted 5 units up

Describe the transformations from f(x) = x² to g(x) = -0.3x² + 4

• vertical compression and shift up

• reflection over x-axis, vertical compression, and shift up

• reflection over x-axis, vertical stretch, and shift up

• vertical stretch and shift down

• Vertical Compression

• Vertical Stretch

• Horizontal Shift RIGHT

• Horizontal Shift LEFT

• Reflection over the X-Axis

• Vertical Shift DOWN

• Vertical Shift UP

"a" causes the parabola to vertically ​ (a)   when a > 1.

• stretch

• compress

a

b

c

d

e

right

reflected

up

left

down

"a" causes the parabola to vertically ​ (a)   when a < 1.

• compress

• stretch

• up 3

• down 3

• right 1

• left 1

• across x axis

• upward

• compress

• stretch