Forms of Quadratic Function

Identify the form of the quadratic function:

f(x) = (x - 8)(x + 8)

• Vertex

• Standard

• Factored

Identify the form of the quadratic function:

f(x) = x² - 9x + 11

• Vertex

• Standard

• Factored

What is the green dashed line called?

• roots or x-intercepts

• parabola

• axis of symmetry

• line of dashes

Which one is NOT a form of quadratic functions?

• Standard Form

• Factored Form

• Regular Form

• Vertex Form

Match the following

• f(x) = 3x² + 4x - 5

• Standard Form

• t(x) = (x + 3)(x - 2)

• Vertex Form

• g(x) = 4(x - 6)² +1

• Factored form

Which answer choice describes  y = -3x² +7x - 2 accurately?

• opens up with a maximum

• opens up with a minimum

• opens down with a maximum

• opens down with a minimum 

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.

• Standard form of a quadratic equation

• y = a(x - h)² + k

• Vertex form of a quadratic equation

• y = ax² + bx + c

• Slope-intercept form of a linear 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).

Identify the form of the quadratic function:
f(x)=(x+1)²-3

• Quadratic

• Standard

• Factored

• Vertex

Identify the form of the quadratic function:
f(x)=3(x+2)(x-1)

• Quadratic

• Standard

• Factored

• Vertex