Question 1

Find the vertex, focus, and directrix of the parabola $x ^ { 2 } = 7 y$ 
.

Accepted Answer

Vertex @#LAT-DLM& 
,

Question 2

Complete the square to determine the type of curve represented by the equation. $x ^ { 2 } + 4 x - 8 y + 36 = 0$

Accepted Answer

The answer of Complete the square to determine the type...

Question 3

Complete the square to determine the type of curve represented by the equation. $4 x ^ { 2 } + 9 y ^ { 2 } - 16 x - 20 = 0$

Accepted Answer

A)  $\frac { ( x - 2 ) ^ { 2 } } { 9 } + \frac { ( y + 2 ) ^ { 2 } } { 4 } = 1$, ellipse 
B)  $9 ( x - 2 ) ^ { 2 } - 4 y ^ { 2 } = 9$, hyperbola 
C)  $\frac { x ^ { 2 } } { 9 } + \frac { ( y - 2 ) ^ { 2 } } { 4 } = 1$, ellipse 
D)  $\frac { ( x - 2 ) ^ { 2 } } { 9 } - \frac { y ^ { 2 } } { 4 } = 1$, hyperbola 
E)  $\frac { ( x - 2 ) ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 4 } = 1$ , ellipse 
A)  $\frac { ( x - 2 ) ^ { 2 } } { 9 } + \frac { ( y + 2 ) ^ { 2 } } { 4 } = 1$, ellipse 
B)  $9 ( x - 2 ) ^ { 2 } - 4 y ^ { 2 } = 9$, hyperbola 
C)  $\frac { x ^ { 2 } } { 9 } + \frac { ( y - 2 ) ^ { 2 } } { 4 } = 1$, ellipse 
D)  $\frac { ( x - 2 ) ^ { 2 } } { 9 } - \frac { y ^ { 2 } } { 4 } = 1$, hyperbola 
E)  $\frac { ( x - 2 ) ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 4 } = 1$ , ellipse

Question 4

A cannon fires a cannonball as shown in the figure. The path of the cannonball is a parabola with vertex at the highest point of the path. If the cannonball lands 800 ft from the cannon and the highest point it reaches is 1600 ft above the ground, find an equation for the path of the cannonball. Place the origin at the location of the cannon.

Accepted Answer

The answer of A cannon fires a cannonball as shown...

Find the vertex, focus, and directrix of the parabola $x ^ { 2 } = 7 y$ .

Complete the square to determine the type of curve represented by the equation. $x ^ { 2 } + 4 x - 8 y + 36 = 0$

Complete the square to determine the type of curve represented by the equation. $4 x ^ { 2 } + 9 y ^ { 2 } - 16 x - 20 = 0$

Equations and Graphs

Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions: Right Triangle Approach

Trigonometric Functions: Unit Circle Approach

Conic Sections

Polar Coordinates and Parametric Equations

Vectors in Two and Three Dimensions

Systems of Equations and Inequalities

Matrices and Determinants

Sequences and Series

Counting and Probability

Filters

Exam 12: Conic Sections

Find the vertex, focus, and directrix of the parabola x2=7yx ^ { 2 } = 7 yx2=7y .

Complete the square to determine the type of curve represented by the equation. x2+4x−8y+36=0x ^ { 2 } + 4 x - 8 y + 36 = 0x2+4x−8y+36=0

Complete the square to determine the type of curve represented by the equation. 4x2+9y2−16x−20=04 x ^ { 2 } + 9 y ^ { 2 } - 16 x - 20 = 04x2+9y2−16x−20=0

Equations and Graphs

Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions: Right Triangle Approach

Trigonometric Functions: Unit Circle Approach

Conic Sections

Polar Coordinates and Parametric Equations

Vectors in Two and Three Dimensions

Systems of Equations and Inequalities

Matrices and Determinants

Sequences and Series

Counting and Probability

Filters

Find the vertex, focus, and directrix of the parabola $x ^ { 2 } = 7 y$ .

Complete the square to determine the type of curve represented by the equation. $x ^ { 2 } + 4 x - 8 y + 36 = 0$

Complete the square to determine the type of curve represented by the equation. $4 x ^ { 2 } + 9 y ^ { 2 } - 16 x - 20 = 0$