Practice Quadratic Transformations and Characteristics

• Quadratic Function

• Exponential Function

• Parent Function

• Linear Function

An up or down movement caused by adding or subtracting OUTSIDE parenthesis. The movement is the same as the sign.

• Vertical Stretch

• Vertical Shrink

• Vertical Reflection

• Vertical Translation

Which function has a translation of 2 units right and a vertical stretch by a factor of 5?

• f(x)= 5(x - 2)²

• f(x) = 5(x + 2)²

• f(x) = (x - 2)² - 5

• f(x) = (x + 2)² + 5

What describes the effect on the graph of the equation y = 3x² when it is changed to y = -¾x²?

• The graph is congruent and is translated down.

• The graph is wider and opens downward.

• The graph is congruent and is translated up.

• The graph is narrower and opens downward.

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

a

b

c

d

Vertical Dilation

Horizontal Dilation

Horizontal Translation

Vertical Translation

Describe the Transformation of the function; ​ (a)  

• 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

Identify the possible functions that matches each specific transformation listed from the parent function f(x) = x^2

a

b

c

d

Label how each number transforms the function

b

c

d

e

Left 3

Stretched by a factor of 2

Right 3

Moves up 7

Reflected over the x-axis