Parabola

Parabola - Wrap Up

Standard Equation (Vertex Form), General Equation, Graph

Are you ready for the Assessment?

This assessment is design to check your understanding about parabola.

Fill in the Blanks

It divides the parabola into two parts and these parts are mirror images.

Multiple Choice

What is the vertex of the parabola given by the equation (y+10)²= 10(x-3)?

• (-10,3)

• (10,-3)

• (-3,10)

• (3,-10)

Multiple Choice

Given the equation of the parabola y²+3x-2y=11, what is length of the LR?

• 11

• 2

• 3

• 6

Multiple Choice

The equation of the directrix of the parabola given by the equation x = −16𝑦²

• y = 4

• y= - 4

• x= 4

• x = -4

Fill in the Blanks

A conic that consists all points in the plane equidistant from a fixed point called focus F and a fixed line l called directrix, not containing F.

Multiple Choice

The opening of the parabola given by the equation y = −(𝑥 − 3) ² − 5

• upward

• downward

• left

• right

Multiple Choice

The equivalent vertex form of the equation x = 𝑦 ² + 4y − 10 is ________.

• (𝑦 − 2)² = 𝑥 + 14

• (𝑦 + 2)² = 𝑥 − 14

• (𝑦 + 2)² = 𝑥 + 14

• (𝑦 − 2)² = 𝑥 − 14

Fill in the Blanks

It is a segment containing the focus, with endpoints on the parabola and perpendicular to the axis of symmetry.

Multiple Choice

The length of the latus rectum of the parabola represented by the equation 

 $y=\frac{1}{4}x^2$ 

• 2 units

• 4 units

• 1/2 units

• 1 unit

Multiple Choice

The coordinates of the vertex of the parabola that is represented by the equation y = (𝑥 + 1) ² − 4

• (1,-4)

• (-1,-4)

• (-1,4)

• (1, −4)

Fill in the Blanks

The distance from the vertex to the focus (or directrix) is called

Multiple Choice

The coordinates of the vertex of the parabola that is represented by the equation x = −𝑦 ² − 10.

• (-10,0)

• (10,0)

• (0,-10)

• (0,10)

Multiple Choice

The graph of the parabola represented by the equation

x = −(𝑦 − 5) ² + 3

Multiple Choice

The vertex of the parabola given by the equation y² = -4x is

• (0,0)

• (0,-4)

• (4,0)

• (0,4)

Multiple Choice

The length of the parabola in the graph is

• 1/4

• 1/2

• 1/8

• 2

Multiple Choice

The vertex of the parabola given by the equation y²=5(x+5)

• (0,0)

• (0,-5)

• (-5,0)

• (0,5)