Three Forms of Quadratic Equations

What is the quadratic formula used for?

• The quadratic formula is used to calculate the area of a circle.

• The quadratic formula is used to find the sum of two numbers.

• The quadratic formula is used to solve quadratic equations.

• The quadratic formula is used to determine the volume of a cube.

Tags

CCSS.HSA-REI.B.4B

What three methods of solving quadratics have we learned?

• Completing the Square

• The Quadratic Formula

• By Square roots

• Perfect Square Trinomials

Tags

CCSS.HSA-REI.B.4B

What form is this quadratic function written in?

• standard form

• vertex form

• intercept form

What form is this quadratic function written in?

• standard form

• vertex form

• intercept form

If you were looking for the solutions, which form is the most convenient?

• Standard Form

• Vertex Form

• Factored Form

• None of These

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

Match the following forms of equations with their correct descriptions.

• Standard form of a quadratic equation

• y = a(x - h)² + k

• Slope-intercept form of a linear equation

• y = ax² + bx + c

• Vertex form of a quadratic equation

• y = mx + b

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).

Match the following equations with their correct form.

• Quadratic Formula

• Standard form of a quadratic equation

• f(x) = ax² + bx + c

• Factor Form

• f(x) = a(x - h)² + k

• Vertex Form

• f(x) = a(factor)(factor)

Which of these is not a form of quadratic equation?

• Standard Form

• Quadratic Formula

• Vertex Form

• Factored Form

A ​ (a)   in one variable is an equation that can be written in the ​ (b)   ​ (c)   , where a, b, and c are ​ (d)   and ​ (e)   .

• quadratic equation

• standard form

• real numbers