Quadratic Transformations H and K

What steps transform the graph y = x² to y = x² + 8

• shifted up 8 units

• shifted down 8 units

• shifted left 8 units

• shifted right 8 units

In the vertex form f(x) = a(x - h)² + k , what does the 'k' value do?

• Shifts the function left or right

• Reflects over the x-axis

• Vertical stretch or compression

• Shifts the function up or down

What steps transform the graph y = x² to y = (x-4)²

• Shifted down 4 units

• Shifted left 4 units

• Shifted right 4 units

• Shifted up 4 units

What is the vertex form of a quadratic function?

• f(x) = 2a(x-h)² + k

• f(x) = a(x-h)² + k

• f(x) = (x+h)² + k

• f(x) = a(x-h) - k

a

b

c

d

Horizontal Translation

Horizontal Dilation

Vertical Translation

Vertical Dilation

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

• stretch

• compress

The graph of quadratic parent function f was transformed to create the graph of e(x). Which two equations represent the translation on the graph? (Place the f(x) version in the second spot).

Tags

AI.9.6

• compress

• stretch

• up 3

• down 3

• right 1

• left 1

• across x axis

• upward

The parent function, f(x), is transformed so that it maps into g(x). Which equation would correctly represent g(x)?

• g(x)=f(x - 3)

• g(x)=f(x + 3)

• g(x)=f(x) + 3

• g(x)=f(x) - 2