Quadratic Transformations

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 '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 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) = (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

f(x) is transformed so that it maps onto 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

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

• a translation shifting f(x) 4 units up

• a translation shifting f(x) 4 units down

• a translation shifting f(x) 4 units to the left

• a translation shifting f(x) 4 units to the right

Match the description to its equation.
Reflected over the x-axis 
Stretched by a factor of 2

• A

• B

• C

• D