Investigating Quadratics

•   a = 1

  b = 4

  c = 3

•   a = x²

  b = 4x

  c = 3

•  a = -1

  b = 4

  c = -3

•   a = -x²

  b = 4x

  c = -3

• x=0

• x=1

• x=2

• x=3

• x=4

• (-1, 0)

• (0,-3)

• (-3,0)

• (3,0)

• (0,3)

• (-2, -1)

• (0,3)

• (-3,0)

• (-1,0)

• x=-2

• Min. at y=0

• Max. at y=0

• Min. at y=1

• Max. at y=1

• True. Both x=2 and x=-3 are roots.

• False. x=2 is a root, but not x=-3.

• False. x=-3 is a root, but not x=2.

• False. Neither x=2 or x=-3 are roots.

Name the part of the parabola that is highlighted in YELLOW.

• vertex

• axis of symmetry

• x-intercept(s)

• y-intercept

• x=4

• (0, 7)

• (7, 0)

• (1, 0)

• (4, -9)

Which best describes the vertex of a parabola?

• Any point on the parabola.

• A point on the x-axis.

• The highest or lowest point of a parabola (maximum and minimum)

• A point on the y-axis.

Does this parabola have a maximum or a minimum. How do you know?

• This parabola has a minimum. I know this because it opens up.

• This parabola has a minimum. I know this because it opens down.

• This parabola has a maximum. I know this because it opens up.

• This parabola has a maximum. I know this because it opens down.