Question 1

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable.
-$x=t-1, y=-13 \sqrt{1-\frac{t^{2}}{25}}+3, t$ in $[-5,5]$

Accepted Answer

@#IMG-DLM& 
Half Ellipse; cent

Question 2

Match each equation on the left with the appropriate description of its graph on the right.
-$(x-3)^{2}+(y+1)^{2}=16$

Accepted Answer

A)  Ellipse; center $(3,1)$ 
B)  Hyperbola; center $(3,1)$ 
C)  Circle; center $(3,-1)$; radius 4 
D)  Parabola; opens downward 
E)  Circle; center $(-3,1)$; radius 4
F) Parabola; opens left 
A)  Ellipse; center $(3,1)$ 
B)  Hyperbola; center $(3,1)$ 
C)  Circle; center $(3,-1)$; radius 4 
D)  Parabola; opens downward 
E)  Circle; center $(-3,1)$; radius 4
F) Parabola; opens left

Question 3

The screen shown here gives the graph of $\frac{x^{2}}{25}+\frac{y^{2}}{9}=1$ as generated by a graphing calculator.
What two functions were used to obtain the graph?

Accepted Answer

The answer of The screen shown here gives the graph...

Question 4

Match each equation on the left with the appropriate description of its graph on the right.
-$9(x+4)^{2}+4(y+3)^{2}=36$

Accepted Answer

A)  Ellipse; center $(-4,-3)$ 
B)  Parabola; opens right 
C)  Circle; center (4, -3$)$; radius 6 
D)  Parabola; opens upward 
E)  Circle; center $(-4,3)$; radius 6
F) Hyperbola; center $(4,-3)$ 
A)  Ellipse; center $(-4,-3)$ 
B)  Parabola; opens right 
C)  Circle; center (4, -3$)$; radius 6 
D)  Parabola; opens upward 
E)  Circle; center $(-4,3)$; radius 6
F) Hyperbola; center $(4,-3)$

Question 5

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable
-$\frac{y^{2}}{25}+\frac{x^{2}}{4}=1$

Accepted Answer

@#IMG-DLM& 
Ellipse;

Question 6

Match each equation on the left with the appropriate description of its graph on the right.
-$3(x-2)^{2}+(y-1)^{2}=9$

Accepted Answer

A)  Circle; center $(2,-1)$; radius 3 
B)  Hyperbola; center $(2,1)$ 
C)  Parabola; opens left 
D)  Circle; center $(-2,1)$; radius 3 
E)  Parabola; opens downward
F) Ellipse; center $(2,1)$ 
A)  Circle; center $(2,-1)$; radius 3 
B)  Hyperbola; center $(2,1)$ 
C)  Parabola; opens left 
D)  Circle; center $(-2,1)$; radius 3 
E)  Parabola; opens downward
F) Ellipse; center $(2,1)$

Question 7

Graph $y=2 \sqrt{\frac{x^{2}}{4}-1}$. Is the graph that of a function? Find the domain and range.

Accepted Answer

@#IMG-DLM& 
Yes. Dom

Question 8

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable.
-$x^{2}+4 y+12 x+16=0$

Accepted Answer

@#IMG-DLM& 
Parabola

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable. - $x=t-1, y=-13 \sqrt{1-\frac{t^{2}}{25}}+3, t$ in $[-5,5]$

Match each equation on the left with the appropriate description of its graph on the right. - $(x-3)^{2}+(y+1)^{2}=16$

Match each equation on the left with the appropriate description of its graph on the right. - $9(x+4)^{2}+4(y+3)^{2}=36$

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable - $\frac{y^{2}}{25}+\frac{x^{2}}{4}=1$

Match each equation on the left with the appropriate description of its graph on the right. - $3(x-2)^{2}+(y-1)^{2}=9$

Graph $y=2 \sqrt{\frac{x^{2}}{4}-1}$ . Is the graph that of a function? Find the domain and range.

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable. - $x^{2}+4 y+12 x+16=0$

Linear Functions, Equations, and Inequalities

Analysis of Graphs of Functions

Polynomial Functions

Rational, Power, and Root Functions

Inverse, Exponential, and Logarithmic Functions

Analytic Geometry and Nonlinear Systems

The Unit Circle and Functions of Trigonometry

Trigonometric Identities and Equations

Applications of Trigonometry and Vectors

Further Topics in Algebra

Limits, Derivatives, and Definite Integrals

Reference: Basic Algebraic Concepts

Filters

Exam 6: Systems and Matrices

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable. - x=t−1,y=−131−t225+3,tx=t-1, y=-13 \sqrt{1-\frac{t^{2}}{25}}+3, tx=t−1,y=−131−25t2​​+3,t in [−5,5][-5,5][−5,5]

Match each equation on the left with the appropriate description of its graph on the right. - (x−3)2+(y+1)2=16(x-3)^{2}+(y+1)^{2}=16(x−3)2+(y+1)2=16

The screen shown here gives the graph of x225+y29=1\frac{x^{2}}{25}+\frac{y^{2}}{9}=125x2​+9y2​=1 as generated by a graphing calculator. What two functions were used to obtain the graph?

Match each equation on the left with the appropriate description of its graph on the right. - 9(x+4)2+4(y+3)2=369(x+4)^{2}+4(y+3)^{2}=369(x+4)2+4(y+3)2=36

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable - y225+x24=1\frac{y^{2}}{25}+\frac{x^{2}}{4}=125y2​+4x2​=1

Match each equation on the left with the appropriate description of its graph on the right. - 3(x−2)2+(y−1)2=93(x-2)^{2}+(y-1)^{2}=93(x−2)2+(y−1)2=9

Graph y=2x24−1y=2 \sqrt{\frac{x^{2}}{4}-1}y=24x2​−1​ . Is the graph that of a function? Find the domain and range.

Graph the relation. Identify the graph and give the the radius, center, vertices, and foci as applicable. - x2+4y+12x+16=0x^{2}+4 y+12 x+16=0x2+4y+12x+16=0