Graphing Parabolas Conic Sections

What is the p-value of this parabola?

• 4

• -8

• 2

• 8

• Hyperbola

• Circle

• Ellipse

• Parabola

Tags

CCSS.HSG.GPE.A.1

There are figures that formed by intersecting two inverted cones and a plane.

• Cross Sections

• Circles

• Conic Sections

• Parabolas

Tags

CCSS.7.G.A.3

A cross-section of a design for a travel-sized solar fire starter is shown in the Figure above. The sun’s rays reflect off the parabolic mirror toward an object attached to the igniter. Because the igniter is located at the focus of the parabola, the reflected rays cause the object to burn in just seconds. Find the equation of the parabola that models the fire starter. Assume that the vertex of the parabolic mirror is the origin of the coordinate plane.

The figure above shows a diagram for the main section of a suspension bridge. The shape of the curved cable can be closely approximated by a parabola. As shown in the figure, there are 17 vertical support wires. These, along with the two 10.6-m end posts, are equally spaced at 5-m intervals. At the center of the bridge, the vertical support wire (from the vertex of the parabola to the roadway) has a length of 0.6 m.
In the figure, let the road correspond to the x-axis in an x-y coordinate system, with the vertex of the parabolic cable located at (0, 0.6). Find an equation in standard form of the parabola.

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

Use the information provided to write the general equation of the parabola with focus at (5, 2) and directrix x = -3.

Tags

CCSS.HSG.GPE.A.2

Given the equation of the parabola, where would the VERTEX be? (put in standard form)

• ( 3 , 3)

• (24, 3)

• ( - 24, 3)

• (-3, 3)

Given this directrix and vertex, what would the equation of the parabola be?

• (y-2)² = 12(x-1)

• (y-2)² = 6(x-1)

• (x-1)² = 12(y-2)

• (x-1)² = 6(y-2)

Which direction does this parabola open?

• Up

• Down

• Left

• Right