Write the Equation of a Parabola

What is the vertex of this quadratic equation?

y = 2(x - 2)² + 5

• (-2,5)

• (2,5)

• (5,-2)

• (-5,-2)

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

• y = -2
• x = 3
• x = -3
• y = 2

Write down the following question since it will appear multiple times.

1) if f(x) = - (x-2)² - 3

1a) What is the vertex?

• (2, -3)

• (-2, 3)

• (-2, -3)

• (4, -3)

Write down the following question since it will appear multiple times.

1) if f(x) = - (x-2)² - 3

1b) Does the graph have a maximum or minimum and what is its value?

• Maximum at y = 2

• Minimum at y = 2

• Maximum at y = -3

• Minimum at y = -3

Write down the following question since it will appear multiple times.

1) if f(x) = - (x-2)² - 3

1c) What is the graph's line of symmetry?

• 2

• x = 2

• 3

• y = 2

Write down the following question since it will appear multiple times.

1) if f(x) = - (x-2)² - 3

1d) What is the x value of the graph when the graph is at its max(or min)?

• 2

• 3

• -2

• -3

A parabola is the set of all points equidistant from the focus and the directrix.

• true
• false

Find the vertex, focus, and directrix of the parabola: x² = 28y

• Vertex: (0, 0) Focus: (0,7) Directrix: y=-7
• Vertex: (0, 0) Focus: (7,0) Directrix: y=7
• Vertex: (0, 0) Focus: (0,-7) Directrix: x=-7
• Vertex: (0, 0) Focus: (7, 0) Directrix: x=7

Find the standard form of the equation of the parabola whose focus (0, 4) and a directrix y=-4.

• y = (1/16)x²
• y² = 4x
• y² = 16x
• y = (1/4)x²

Find the vertex, focus, and directrix of the parabola: -(1/40)x² = y

• Vertex: (0, 0) Focus: (-20,0) Directrix: x = 10
• Vertex: (0, 0) Focus: (0,10) Directrix: y=10
• Vertex: (0, 0) Focus: (0,10) Directrix: y=-10
• Vertex: (0, 0) Focus: (0, -10) Directrix: y = 10