8.4 Quadratic Transformations

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

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

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

• Shifts the function left or right

• Reflection over the x-axis

• Vertical stretch or compression

• Shifts the function up or down

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

How did we transform from y=x^2?

y = -3x²

• vertical reflection and vertical shift down

• vertical reflection and vertical stretch

• horizontal stretch

• vertical reflection and vertical compression

Given f(x) = -x² , how did we transform from the parent function?

• Horizontal shift left

• Reflection over the x-axis

• Vertical shift down

• Vertical compression

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) = x² - 4 , how did we transform from the parent function?

• Horizontal shift left 4

• Vertical shift up 4

• Horizontal shift right 4

• Vertical shift down 4