unit 5 precalc apex

for the system shown below, what are the coordinates of the solution that lies in quadrant 1 Write your answer in the form (a, b) without using spaces. X^2 + 4y^2 = 100 4y - x^2 = -20

(6,4)

which of the following represents the coordinates of the foci of the ellipse shown below: (x-7)^2/4+(y+3)^2/16=1

(7, -3 +/- 2sqrt3)

which of the following graphs matches the circle given by the equation: (x+2)^2+(y-4)^2=9

(graph in second quadrant, bottom of circle at y=1)

which is the following is the graph for this hyperbola: (x+1)^2/16-(y-2)^2/144=1

(graph looks nearly parallel with vertical lines and x-intercepts at -5 and 3)

which of the following is the graph of the ellipsis shown below: (x-5)^2/9+(y+2)^2/25=1

(looks like right-side up egg in first and fourth quadrant)

which parabola has the graph shown: (parabola on its side, opens towards the right above x axis)

(x+1)=(y-2)^2

what is the equation of the parabola, in vertex form, with vertex at (-2,-4) and directrix x=-6

(x+2)^(2)=8(y+4) (wrong answer)

what is the equation of the parabola in vertex form: x^2+6x-y+3=0

(x+3)^3=(y+6)

what is the equation of the given circle (circle on bottom left of first quadrant)

(x-2)^(2)+(y-1)^(2)=1

which equation describes the circle having center point (3,7) and radius=4 in standard form

(x-3)^(2)+(y-7)^(2)=16

if the graph of the following parabola is shifted four units right and three units down, what is the resulting equation in vertex form? x=4y^2

(x-4)=4(y+3)^(2)

which of the following is a degenerate circle

(x-5)^2+(y-1)^2=0

which of the following equations will produce the graph shown below: (circle with x intercepts: 8,-8; y intercepts: 6,-6

(x^(2))/(64)+(y^(2))/(36)=1

what are the coordinates of the focci of the conic section shown below ((y+2)^2)/(16)-((x-3)^2/(9)=1

(−2,3±5) (wrong answer)

which of the following equations represents an equation an ellipse having vertices located at (2,9) and (2,-5) and foci located at (2,5) (2,-1)

(𝑥−2)^2/40+(𝑦−2)^2/49= 1.

solve the equation below for x 10=3^(x+5)-2

-2.738

which of the following is an x intercept of the graph of the function shown below: f(x)=x^2+6x+9

-3

solve the equation below by factoring: x^2-x=30

-5, 6

solve the equation below for b: |3b+4|=11

-5, 7/3

for the function below find f(x)=2x^4-8x^2+5x-7

-8

In the system shown below, what is the sum of the x-coordinates of all solutions? 3y^2-5x^2=7 3y^2-x^2=23

0

what is the coordinate point for the vertex of this parabola: x^2=12y

0,0

A circle given by x^2 + y^2 -2y -11 = 0 can be written in standard form like this x^2 + ( y - k)^2 = 12 What is the value of k in this eqation?

1

what is the radius of the circle shown below: x^2+y^2-2x+6y+9=0

1

what is the value of p: x = 1/4y^2?

1

which of the following is not a zero of the polynomial shown below f(x)=2x^4-x^3-42x^2+16x+160

1

A degenerate circle is: 1: a circle with radius r = 0 2: a point. 3: a line.

1 and 2 only

describe the solution to the quadratic function below x^2+6x+9=0

1 rational (double) root

What is the length of the transverse axis of the equation shown below? (y+2)^2/25-(x-3)^2/4=1

10

What is the length of the transverse axis? (x-2)^2/36-(y+1)^2/64=1

12

what is the length of the focal width: x^2=12t

12

what is the length of the major and minor axis of the conic section below (x-3)^2/25+(y+2)^2/49=1

14

what is the length of the major axis of the conic section shown below: (x+2)^2/49+(y-1)^2/25=1

14

What is the maximum number of intersection points a parabola and a circle could have?

4

how long is the minor axis for the ellipsis shown below: (x+3)^2/(64)+(y-7)^2/(4)=1

4

what is the maximum number of possible solutions for the system shown below: x^2-4y^2=64 x^2+y^2=36

4

which of the following matrix equations correctly represents this system of equations: 4x+5y=-9 x+3y=-4

4 5 x= -9 1 3 -4

evaluate log4512

4.500

x^2+y^2+4x+8y−10=0

5.477

solve the equation below for x 3(x+1)=8(x-1)+5

6/5

which of the following is equivalent to the one shown below 2log2 12-log2 4+ log2 3

log2 108

rewrite the following expression in logarithmic form 2^9=512

log2 512=9

solve for x log5 (11-6x)=log5 (1-x)

no solution

which conic section does the equation below describe: (y-1)^2=8(x+3)

parabola

which conic section does the equation below describe: (y-4)^2=16(x+1)

parabola

which direction does the graph of the equation shown below open: y^2-4x+4y-4=0

right

what is the eccentricity of the ellipsis shown below: (x+7)^2/16+(y-3)^2/4=1

sqrt3/2

(true or false) This is the equation of a horizontal hyperbola: (x-2)^2/36-(y+1)^2/64=1

true

(true or false) the focus for this parabola is (-2,0) x=1/8y^2

true

If you deposit $1000 in an account that pays 6% annual interest commpounded continuously, what will the balance be after five years

$1349.86

which of the following is the equation of an ellipsis centered at (4,-1) having a horizontal minor axis length of 14 and a major axis of 20

((x-4)^(2))/(49)+((y+1)^(2))/(100)=1

which formula represents the hyperbola on the graph shown below:

((y-3)^(2))/(169)-((x+2)^(2))/(81)=1

what are the coordinates of the focus of the conic section shown below: y^2-4x+4y-4=0

(-1,-2)

Write the coordinates for the center of the hyperbola: (y-2)^2/16-(x+1)^2/144=1

(-1,2)

For the system shown below, what are the coordinates of the solution that lies in quadrant 2? Write your answer in the form (a, b) without using spaces. x^2+4y^2=80 y=1/32 x^2

(-8,2)

which of the following correctly identifies the vertices that lie on the major axis of the conic section below: (x+2)^2/49+(y-1)^2/25=1

(-9,1) (5,1)

what are the coordinates of the center of the ellipsis shown below: (x-1)^2/9+(y+5)^2/16=1

(1,-5)

which of the following expresses the coordinates of the foci of the conic section shown below: (x-2)^2/4+(y+5)^2/9=1

(2, -5 +-sqt5)

what are the coordinates of the vertices of the conic section shown below: (y+2)^2/25-(x-3)^2/4=1

(3,3) (3,-7)

For the system shown below, what are the coordinates of the solution that lies in quadrant 1? Write your answer in the form (a, b) without using spaces. x^2+y^2=25 x-y^2=-5

(4,3)

what are the coordinates of the center of the circle shown below: x^2+y^2-12x-6y+9=0

(6,3)

how many solutions does this graph indicate for the system of conic sections

2 (solution determined by number of points of intersections)

what is the value for b for the following circle in general form

2 (wrong answer)

what is the length of the conjugate axis? (y-2)^2/16-(x+1)^2/144=1

24

rewrite the expression below in exponential form log2 0.125=-3

2^-3=0.125

write the equation of the line perpendicular to the line 2x-3y=5 and passes through the point (2,-1)

2x+3y=1

which of the following equations will produce the graph below: (circle with y/x intercepts at 4, -4)

2x^(2)+2y^(2)=32

how many solutions are there for the system shown below: x^2+4y^2=100 4y-x^2=-20

3

what is the radius for a circle given by the equation: (x-2)^2+y^2=14

3.742

A kicker kicks a football toward the opponent's goal line during a game. The ball begins its flight with an initial velocity of 70 feet per second when it is kicked at a height of 2 feet by the kicker. To the nearest foot, what maximum height will the ball reach? You may use the function: h(t)=-16t^2+70t+2

79 feet

what is the length of the major axis for the ellipsis shown below: (x-1)^2/9+(y+5)^2/16=1

8

if you add the length of the Focal radii of an ellipse, what other value will you produce?

The length of the major axis

what is the domain of the function shown below f(x)=log5 (x-3)

all real numbers greater than 3

what is the range of the function shown below f(x)=-12/(x^2+6)

all real numbers greater than or equal to -2 and less than 0

identify the circle and radius of the circle (x+4)^2+(y-2)^2=16

center: (-4,2) radius: 4

which conic section does the equation below describe: (x-3)^2+(y+2)^2=25

circle

which conic section does the equation below describe: x^2+y^2-8x+10y+15=0

circle

which conic section does this equation represent x^2-4x+y^2+6y-9=5

circle

which conic section is represented by the equation shown below x^2+y^2-8x-10y+10=0

circle

which conic section does the equation below describe: (x+2)^2/16+(y-9)^2/36=1

ellipse

(true or false) the equation of the directrix for this parabola is x=-2 x=-1/8 y^2

false

(true or false) the foci for the hyperbola: (x-2)^2/36-(y+1)^2/64=1 are (2, -1+4sqrt7) and (2, -1 -4sqrt7)

false

(true or false) the vertices for this hyperbola (x-1)^2/25-(y+3)^2/9=1 are (1,0) and (1,-6)

false

(true or false) this parabola opens to the right: x^2=12y

false

which conic section is represented by the equation shown below -4x^2-9x+4y^2+8x=16

hyperbola

which of the following is a one to one function

i hate math (i got the wrong answer anyways)

describe the transformations to the graph of y=x^2 that result in the graph of y=-(x+2)^2+3

left 2 units, reflection across x axis, up 3 units

solve the equation below 3x^2-x+6=0

x=(1+-i sqrt71)/6

write the equation of the directrix of the conic section below: y^2-4x+4y-4=0

x=-3

what is the equation of the directrix of the parabola defined by the equation shown below y^2=-36x

x=9

solve the inequality below for x: -4x-11<=13

x=>-6

which of the following equations will produce the graph shown below: (hyperbola with x intercepts at 1,-1)

x^(2)-(y^(2))/(4)=1

what is the equation of the hyperbola with vertices at (-4,0) and (4,0) and foci at (-6,0) and (6,0)

x^2/16-y^2/20=1

which function will produce the graph below

y=(x^(2)-1)/(x^(2)+2x-3)

which of the following functions is equivalent to the one shown below y=-4x^2+56x-194

y=-4x(x-14) (wrong answer)

which of the following equations will produce the graph shown below: (parabola opening upwards starting at (0,0))

y=1/2x^2

what are the equations for the asymptotes for this hyperbola: x^2/25-y^2/4=1

y=2x/5, -2x/5

which of the following is a quadratic function:

y=x^2-12x+9

which of the following represents a function

y=|x|

which of the following expressions represent the eccentricity of an ellipse?

𝑐/𝑎