Three Forms of Quadratics

What is the quadratic parent function?

Which of the following is Standard Form?

• $y=ax^2+bx+c$

• $y=a\left(x-p\right)\left(x-q\right)$

• $y=a\left(x-h\right)^2+k$

Which of the following is Vertex Form?

• $y=ax^2+bx+c$

• $y=a\left(x-p\right)\left(x-q\right)$

• $y=a\left(x-h\right)^2+k$

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

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

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?

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)

• Standard Form

  y -int (0, -3)

• Factor Form

  x = 3 & x = -2

• Vertex Form

  AOS x = 3

• Vertex Form

  x = -3

If the quadratic has a positive 'a' coefficient, what direction does the parabola open?

• Up
• Down