Three Forms of Quadratics

Which is the standard form of a quadratic equation?

• y= ax²+bx+c

• y= mx + b

• (y-y₁)= m(x-x₁)

• y= a(x-h)²+k

What form of a Quadratic is this equation?

• Vertex Form

  Vertex: (-4, -6)

• Standard Form

  y-intercept: (0, -6)

• Factored Form

  Zeros: x = 4 & x = -6

What form of a Quadratic is this equation?

y = 3(x - 6)(x + 3)

• vertex

• standard

• Factored

• Standard Form,

  y-intercept (0, -2)

• Factored Form

  x-intercepts

  (3, 0 ) & (-2, 0)

• Vertex Form

  Vertex (3, -2)

• Vertex Form

  (-3, -2)

What is the name of this form:
y = ax² + bx + c

• vertex form

• standard form

• factored form

• zero form

• I DONT KNOW

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

• Function Notation

• Standard Form

• Vertex Form

• Factored Form

Match the following forms of equations with their correct descriptions.

• Vertex form of a quadratic equation

• y = a(x - h)² + k

• Standard form of a quadratic equation

• y = mx + b

• Slope-intercept form of a linear equation

• y = ax² + bx + c

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).

• Standard Form

  y -int (0, -3)

• Factor Form

  x = 3 & x = -2

• Vertex Form

  AOS x = 3

• Vertex Form

  x = -3

You need to find the axis of symmetry of a quadratic function f(x). Choose the form of the quadratic function f(x) that you would like to see in order to answer the question most efficiently.

• Standard Form

• Vertex Form

• Intercept Form (aka Factored Form)

You need to find the y-intercept of a quadratic function f(x). Choose the form of the quadratic function f(x) that you would like to see in order to answer the question most efficiently.

• Standard Form

• Vertex Form

• Intercept Form (aka Factored Form)