1. Graph the function and identify the domain and range. y=-5x^2 oo=infinite
A) Domain: (-oo, oo) Range: [0, oo)
B) Domain: (-oo, oo) Range: (-oo, 0]
C) Domain: (-oo, oo) Range: (-oo, 0]
D) Domain: (-oo, oo) Range: [0, oo)
2. How is the graph of y=-6x^2-4 different from the graph of y=-6x^2?
A)It is shifted 4 units to the left
B)It is shifted 4 units to the right
C)It is shifted 4 units down
D)It is shifted 4 units up
3. A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the equation y= -0.8x^2+12x+25.8 where x is horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of the rocket above the ground.
How far horizontally from its starting point will the rocket land? Round your answer to the nearest hundredth of a meter?
A)82.03m
B)6.50m
C)90.00m
D)88.53m
48 answers
We would be happy to check your answers : )
A)25.80 m
B)37.00 m
C)17.24 m
D)16.91 m
2. C?
3. C?
2:D
3:B
4:A
5:B
6:A
7:A
8:A
9:B
10:B
11:C
12:B
13:A
14:B
15:D
16:D
17:D
18:C
19:D
20:B
21:C
Here are the answers
D
D
A
A
A
A
A
B
B
C
A
B
C
C
C
B
B
D
C
A
1. b
2. c
3. b
4. c
5. b
6. a
7. a
8. b
9. c
10. d
11. d
12. b
13. b
14. b
15. c
16. c
17. d
18. c
19. d
20. b
21. a
:)
1. Graph the function and identify the domain and range. y=-5x^2
*graph that points downwards and the top touches (0,0)*
2. How is the graph of y=-8x^2-2 different from the graph of y=-8x^2?
It is shifted 2 units down.
3. A model rocket is launched from a roof into a large field. The oath of the rocket can be the equation y=-0.04x^2+8.3x+4.3, where c is the horizontal distance, in meters…
208.02 m
4. Which of the following functions has a rate of change that stays the same?
y=-4x+10
5. How many real number solutions does the equation have? 0=5x^2x-12
two solutions
6. How many real number solutions does the equation have? -8x^2-8x-2=0
one solution
7. Graph the set of points. Which model is most appropriate for the set? (-6,0)(-4,2)(-3,3)(2,8)
Linear: *the one that is completely above the x axis/the middle line*
8. What type of equation will best fit the data below? *3/4 of parabola (upside down U)*
quadratic
9. Water is added to two containers for 16 minutes. The equations below model the ounces of water, y, in each container after…
328 ounces
10. If an obhect fropped from a height of 85 feet, the function h(t)=-16t^2+85…
2.30 seconds
11. A catapult launches a boulder with an upward velocity of 148 ft/s. The height of the boulder (h)…
Reaches a maximum height of 372.25 feet after 4.63 seconds.
12. Use the graph of f(x) to find the solutions to the equation f(x)=0 *parabola that points down and touches (-10,0) and (2,0)
two solutions x=-10,2
13. What are the solutions of the equation 2x^2=2? Use the graph of a related function whose roots answer the question.
*parabola that points upwords and touches (-1,0) and (1,0)*
14. Solve the equation using the Zero Product Property. (2x+6)(3x-6)=0
-3 and -2
15. What are the solutions of the equation? 0=x^2+3x-10
x = -5,-2
16. A community group is planning the expansion of a square flower garden in a city park. If each side of the original garden is increased by 9 meters…
4 m
17. What is the value of c so that x^2 -11x+c is a perfect square trinomial?
121/4
18. Solve the equation by completing the square. Round to the nearest hundredth. x^2+6x=-7
-4.41, -1.59
19. Solve the equation by completing the square. x^2-6x+7=0
1.59, 4.41
20. Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth. x^2+3=-4x
-1,-3
21. Which kind of function best models the data in the table? Use differences or ratios. [x: 0,1,2,3,4] [y:1.3, 7.8, 46.8, 280.8, 1648.8]
exponential
👉If any of these questions match your quiz, put the answer I wrote.👈
1:B
2:C
3:A
4:C
5:A
6:A
7:A
8:B
9:B
10:C
11:D
12:A
13:B
14:B
15:D
16:D
17:D
18:A
19:D
20:B
21:C
Please don't cheat it just isn't worth it but if you do that's on you. I don't cheat I do this for those who need to check their answers. Don't start a fight with me cuz of what I said I'm just being honest. Please be a little bit smarter than this but it's your life not mine. I can't control ya'll so good luck. :b
1. domain: (-oo,oo) range: (-oo,0)
2. it is shifted 2 units down
3. 208.02m
4. y= -4x+10
5. two solutions
6. one solution
7.linear (choose the graph that says linear under it :)
8. quadratic
9. 580 ounces
10. 3.54 seconds
11. reaches a maximum height of 242.56 feet after 3.81 seconds
12. two solutions : x= -6,2
13. there are two solutions x= +1
14. -1/3 and 5
15. 6, -4
16. 5 m
17. 225/4
18. 1.1, -9.1
19. 1.59, 4.41
20. -7,3
21. exponential
YOUR WELCOME BESTIES!!! <333
1.Graph the function and identify the domain and range. Y=-5x^2?
B
2. How is the graph of y=-6x^2-4 different from the graph of y=-6x^2?
C
3.A model rocket is launched from a roof into a large field?
D 16.91m
4.Which of the following functions has a rate of change that stays the same?
C y=-7x+9
5.How many real number solutions does the equation have? 0=5x^2+2x-12 answer is B two solutions.
6.B
7.D
8. B. QUADRATIC
9. B. 328 ounces
10. B. 3 s
11. D REACHES A MAXIMUM HEIGHT OF 372.25
12. B x=-6,2
13. I GOT C WRONG SO idk this one
14. C -3 AND 2
15. C x=-5,2
16. 12 m
17. 121/4
18. -11.56, 1.56
19. -10.35,1.35
20.-1,-3
21. I GOT QUADRATIC WRONG idk
How far horizontally from its starting point will the rocket land? Round your answer to the nearest hundredth.
A. 4.30 m
B. 160.56 m
C. 161.12 m
D. 13.94 m
0 = -0.06x^2 + 9.6x + 5.4
Multiplying both sides by -100 to eliminate the decimal:
0 = 6x^2 - 960x - 540
Factoring out 6:
0 = 6(x^2 - 160x - 90)
Using the quadratic formula to solve for x:
x = [ -(-160) ± sqrt((-160)^2 - 4(1)(-90)) ] / (2*1)
x = [ 160 ± sqrt(25600 + 360) ] / 2
x = [ 160 ± sqrt(25960) ] / 2
x ≈ 161.12 or -1.12
Since the distance can't be negative, the rocket will land approximately 161.12 meters from its starting point on the roof. Therefore, the answer is (C) 161.12 m.
0 equals negative 7 lower x squared plus 6 lower x plus 3
A. one solution
B. two solutions
C. no solutions
D. infinitely many solutions
How many real number solutions does the equation have?
negative 8 x squared minus 8 x minus 2 equals 0
A. one solution
B. two solutions
C. no solutions
D. infinitely many solutions
Graph the set of points. Which model is most appropriate for the set?
(negative 6, 0), (negative 4, 2), (negative 3, 3), (2, 8)
A. a coordinate plane with points plotted that form a linear graph with positive slope; points are located in the first, second, and third quadrants.
B. a coordinate plane with points plotted that form a quadratic graph; points are located in the first, second, and third quadrants.
C. a coordinate plane with points plotted that form a quadratic graph; points are located in the first, fourth, and third quadrants.
D. a coordinate plane with points plotted that form a linear graph with positive slope; points are located in the first, fourth, and third quadrants.
b^2 - 4ac = 6^2 - 4(-7)(3) = 84
Since the discriminant is positive, there are two distinct real-number solutions. Therefore, the answer is (B) two solutions.
2. To find the number of real-number solutions of the equation -8x^2 - 8x - 2 = 0, we can again use the discriminant:
b^2 - 4ac = (-8)^2 - 4(-8)(-2) = 64
Since the discriminant is positive, there are two distinct real-number solutions. Therefore, the answer is (B) two solutions.
3. The given set of points do not form a quadratic graph, but they do form a linear graph with positive slope. To see this, we can plot the points on a coordinate plane and connect them by a line:
```
| *
| *
| *
| *
--------+---------
|
|
```
The line passes through three quadrants: the first, second, and third. Therefore, the most appropriate model for the set is (A) a coordinate plane with points plotted that form a linear graph with positive slope; points are located in the first, second, and third quadrants.
A scatter plot is shown. The points are in the shape of an upside down upper case U.
A. quadratic
B. linear
C. exponential
Water is added to two containers for 16 minutes. The equations below model the ounces of water, y, in each container after x minutes. At the time after the start when the containers hold the same amount of water, how much water do they hold?
Container A: y equals 16 x plus 104
Container B: y equals negative 2 x squared plus 40x plus 160
A. 360 ounces
B. 328 ounces
C. 232 ounces
D. 136 ounces
If an object is dropped from a height of 85 feet, the function h of t equals negative 16t squared plus 85 gives the height of the object after t seconds. Approximately, when will the object hit the ground?
A. 85.00 seconds
B. 69.00 seconds
C. 0.33 seconds
D. 2.30 seconds
A catapult launches a boulder with an upward velocity of 184 feet per second. The height of the boulder, (h), in feet after t seconds is given by the function h of t equals negative 16t squared plus 184t plus 20 . How long does it take the boulder to reach its maximum height? What is the boulder’s maximum height? Round to the nearest hundredth, if necessary.
A. Reaches a maximum height of 11.6 feet after 5.75 seconds.
B. Reaches a maximum height of 549 feet after 11.5 seconds.
C. Reaches a maximum height of 549 feet after 5.75 seconds.
D. Reaches a maximum height of 23.2 feet after 11.6 seconds.
Use the graph of f (x) to find the solutions to the equation f (x) = 0.
A coordinate plane with parabola opening up. The y-intercept is negative 12 and the x-intercepts are 2 and negative 6.
A. two solutions: x = 6, negative 2
B. two solutions: x = negative 6, 2
C. one solution: x = negative 12
D. no solutions
A scatter plot is shown. The points are in the shape of an upside down upper case U.
A. quadratic
B. linear
C. exponential
Water is added to two containers for 16 minutes. The equations below model the ounces of water, y, in each container after x minutes. At the time after the start when the containers hold the same amount of water, how much water do they hold?
Container A: y equals 16 x plus 104
Container B: y equals negative 2 x squared plus 40x plus 160
A. 360 ounces
B. 328 ounces
C. 232 ounces
D. 136 ounces
If an object is dropped from a height of 85 feet, the function h of t equals negative 16t squared plus 85 gives the height of the object after t seconds. Approximately, when will the object hit the ground?
A. 85.00 seconds
B. 69.00 seconds
C. 0.33 seconds
D. 2.30 seconds