Parabola A Value

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

• y = -2

• x = 3

• x = -3

• y = 2

Does the equation open up or down? 
Y = -3x² +7x - 2

• up

• down

• Neither; it opens to the right.

• Neither; it opens to the left.

Tags

CCSS.HSF-IF.C.7A

How can you tell whether a parabola opens up or opens down by looking at the equation?

• The vertex tells you the direction of the opening

• The value of "a" tells you the direction of the opening.

• All parabolas open upward

• All parabolas open downward

What is the axis of symmetry?
f(x) = x² - 8x + 15.

• x = -4

• x = 4

• y = 4

• y = -4

How do we define a parabola using its focus and directrix?

• A parabola is the set of all points that are the same distance from a single point, called the focus of the parabola, and a line, called the directrix of a parabola.

• A parabola is the set of all points that have a greater y value than a single point, called the focus of the parabola, and a lesser x value than a single point, called the directrix of the parabola.

• A parabola is a circle with a center point called the focus of the parabola, and a line from the center of the circle to the circle called the directrix of the parabola.

• A parabola is a square in which the center of the square is called the focus of the parabola, and the length of one side of the square is called the directrix of the parabola.

What is the standard equation of a parabola that opens right and whose vertex is at the origin?

Each point on the curve of a parabola is ____________ to focus and the directrix.

• equilateral

• perpendicular

• equidistant

• tangent

Tags

CCSS.HSG.GPE.A.2

What is the vertex and focus of the parabola (katex latex="(y-2)^2=-16(x-3)") ?

• Vertex: (-3, -2) Focus: (-3, 14)

• Vertex: (-3, -2) Focus: (-3, -18)

• Vertex: (3, 2) Focus: (-1, -2)

• Vertex: (3, 2) Focus: (-1, 2)

What is the standard equation of a parabola with Vertex (-2, 1) and the directrix is 4 units below the vertex?

What is the standard equation of a parabola with Focus (1,3) and the directrix is 6 units to the left of the focus?

Tags

CCSS.HSG.GPE.A.2