Parameter Changes of Quadratics

• 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) = x² , if the equation of the new graph is g(x) = 3x² Describe the transformation.

• the new graph will become wider or vertically compressed

• the new graph will become narrower or vertically stretched

• the new graph will become wider or vertically compressed

• the new graph will become narrower or vertically stretched

Given the quadratic parent function f(x) = x² , if the equation of the new graph is g(x) = -x²

Describe the transformation.

• Shifts the function left or right

• Reflection over the x-axis

• Vertical stretch or compression

• Shifts the function up or down

Given the equation f(x) = -2x², if the equation of the new graph is g(x) = 2x². Describe what happened to the new graph when the sign of the 'a' value in the quadratic function was changed.

• 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 when the new equation is g(x) = x² + 3 ?

• horizontal shift up

• vertical shift up

• horizontal shift down

• vertical shift down

How did we transform the quadratic parent function f(x)=x² when the new equation is g(x) = x² - 5 ?

• vertical shift down

• vertical translation up

• horizontal stretch

• vertical compression

How did we transform from the parent function when the new equation is g(x) = x² - 2?

• Horizontal shift left

• Reflection over the x-axis

• Vertical shift down

• Vertical stretch

• Vertical compression (wider)

• Vertical stretch (narrower)

• Vertical compression (wider) and reflection over x-axis

• Vertical stretch (narrower) and reflection over x-axis

If the parabola shown in blue is f(x)=x² , then the parabola shown in red must be showing what transformation ?

• that the parent function is vertically translated down 5 units

• that the parent function is vertically translated up 5 units

• that the parent function is vertically translated left 5 units

• that the parent function is vertically translated right 5 units