Three Types of Quadratics

Is this function Linear, Exponential, or Quadratic?

How many solutions are there?

• 2 imaginary

• 1 repeated real

• 2 real

• 0

For the function below, is the discriminant positive, negative, or zero?___________y = x² + 4x + 4

• Positive

• Negative

• Zero

• Not Sure

Convert the following graph into vertex form:

Match the following forms of equations with their correct descriptions.

• Standard form of a quadratic equation

• y = mx + b

• Slope-intercept form of a linear equation

• y = ax² + bx + c

• Vertex 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 of the following represents a quadratic function?

What form of a Quadratic is this equation?

y = x² + 4x - 6

• 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?

• vertex

• standard

• Factored

• Standard Form

  y -int (0, -3)

• Factor Form

  x = 3 & x = -2

• Vertex Form

  AOS x = 3

• Vertex Form

  x = -3

Which is the vertex form of a quadratic equation?

• y= ax²+bc+c

• y= mx + b

• (y-y₁)= m(x-x₁)

• y= a(x-h)²+k