Three Forms of Quadratic Equations

Convert the following graph into standard form:

Convert the following graph into vertex form:

Sketch the graph using the 3 forms above.

Sketch the graph from the three forms

Standard Form = ​ (a)   Factored Form = ​ (b)   Vertex Form = ​ (c)  

Identify the forms of quadratic equations.

• Factored Form (Intercept Form)

• Vertex Form

• Standard Form

Match the following equations with their correct form.

• Factor Form

• f(x) = ax² + bx + c

• Quadratic Formula

• f(x) = a(x - h)² + k

• Vertex Form

• Standard form of a quadratic equation

• f(x) = a(factor)(factor)

When you rewrite a quadratic equation in the following form. It is written in ________ form

• Vertex Form

• Standard Form

• Quadratic Form

• Factored Form

Match the following forms of equations with their correct descriptions.

• Vertex form of a quadratic equation

• y = ax² + bx + c

• Slope-intercept form of a linear equation

• y = mx + b

• Standard form of a quadratic equation

• y = a(x - h)² + k

Answer explanation

The correct choice is y = a(x - h)^2 + k, which represents the vertex form of a quadratic equation with the vertex at (h, k).

Which form of the quadratic equation shows the transformations most clearly?

• Function Notation

• Standard Form

• Vertex Form

• Factored Form