Quadratic Transformations

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

• Shifts the function left or right

• Changing 'a' value has no affect on the parent function

• Vertical stretch or compression

• Shifts the function up or down

Given f(x) = ax² , if 0 < a < 1 , the graph will transform by

• becoming wider or vertically compressed

• becoming narrower or vertically stretched

Given f(x) = ax² , if a > 1 , the graph will transform by

• becoming wider or vertically compressed

• becoming narrower or vertically stretched

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

How did we transform from the parent function?
y = x² + 2

• horizontal shift up
• vertical shift up
• horizontal shift down
• vertical shift down

Given f(x) = (x + 3)² , how did we transform from the parent function?

• Horizontal shift left 3

• Vertical shift up 3

• Horizontal shift right 3

• Vertical shift down 3

Given f(x) = (x + 6)² - 2 , how did we transform from the parent function?

• Horizontal shift left 6, vertical shift up 2

• Horizontal shift left 6, vertical shift down 2

• Horizontal shift right 6, vertical shift down 2

• Horizontal shift right 6, vertical shift up 2

• right 3, down 2

• up 3, left 2

• left 3, up 2

• left 3, down 2

• right 3

• Reflected down, right 3

• Reflected down, up 3

• Reflected down, left 3

Which equation matches the following transformation: up 4, stretched 3, reflected down, and left 1