Transformations on Quadratic Functions Vertex Form

Which of the following describes the transformations done to the quadratic parent function of y = x²  to obtain y = 2x² + 4 ?

• Vertical Stretched by 2 and translation up 4

•  Vertical Compressed by 2 and translation up 4

• Horizontal Stretched by 2 and translation left 4

• Horizontal Compressed by 2 and translation right 4

• translates it left one unit and down 9 units

• translates it right one unit and down 9 units

• translates it up one unit and right 9 units

• translates it down one unit and left 9 units

• Shrinks the graph vertically by a factor of 1/3 and translates up 4 units.

• Stretches the graph by a factor of 3 and translates up 4 units.

• Translates the graph left 1/3 of a unit and up 4 units.

• Translates the graph right 3 unites and down 4 units.

The y-value of the lowest point (vertex) on the graph of a function.

• Maximum value of a function

• Minimum value of a function

• Domain

• Range

A quadratic functon writtn in the form f(x) = a(x - h)² + k, where a, h, and k are constants and (h, k) is the vertex.

• Quadratic Parent Function

• Vertex Form of a Quadratic Equation

• Standard Form of a Quadratic Equation

• Factored Form of a Quadratic Equation

The y-value of the highest point (vertex) on the graph of a function.

• Maximum value of a function

• Minimum value of a function

• Domain

• Range

Quadratic functions p and q are graphed on the grid. The graph of p was transformed to create the graph of q. Which function best represents the graph of q?

• A vertical shift up

• A horizontal shift to the left

• A vertical shift down

• A horizontal shift to the right

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• The graph of g is a reflections of the graph of f across the x-axis.

• The vertex of the graph of g is 9 units to the rights of the vertex of the graph of f.

• The graph of g is a reflection of the graph of f across the y-axis.

• The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.