Conic Form Quadratics

Which of the following functions graphs the parabola shown?

• y = x² - 4x + 1

• y = -2x² - 8x - 3

• y = x² - 4x + 5

• y = 2x² + 6x + 1

Answer explanation

*Hint: Does the parabola upen up or down? What is the "c" value? What is the axis of symmetry?

If a parabola has a vertex at (-5, 2), what is the axis of symmetry.

• y = 2

• x = -5

• x = 5

• y = -2

Which of the following pictures in real life is NOT an example of a parabola?

• A

• B

• C

• D

Find the equation of a parabola that passes through point (10, -4) with vertex (0, -1).

• y =¹/₄x² -1

• y = ¹/₂₀x² - 1

• y = ¹/₅x² -1

• y = ¹/₂₀x² + 4

Which of the following statements are NOT true

• The minor axis of a vertical ellipse is vertical

• The transverse axis of a horizontal hyperbola is horizontal.

• Another name for the transverse axis of a hyperbola is the minor axis.

• If the equation of a circle is: x² + y² = 8, the diameter of the circle is 16.

• The parabola 12y = 6x² -30 opens up

Which conic's equation has 2 squares with the same signs and different leading coefficents?

• Parabola

• Circle

• Ellipse

• Hyperbola

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

• y = -2

• x = 3

• x = -3

• y = 2

How WIDE will this parabola be?

• 12

• 3

• (2,3)

• 24

Given a directrix of x=2 and a vertex of (4,1) write the equation of the parabola.

Mathematical Equivalence

ON

Write the equation of a parabola with a vertex at (-2,5), that opens down, and has a focal width of 12.