Lesson 8: Systems of Linear and Quadratic Equations
Check my work
1. Solve the system of equations.
y = 2x^2 - 3
y = 3x - 1
a. no solution
b. (-1/2, 5), (2, -5/2)
c. (-1/2, -5/2), (2,5)***
d. (1/2, 5/2), (2, 5)
2.how many real number solutions does the equation have 0 = -3x^2 + x - 4
a. 0***
b. 1
c. 2
d. 3
3. solve the equation by completing the square. If necessary round to the nearest hundredth.
x^2 - 18x = 19
a. 1; 19
b. -1; 19***
c. 3; 6
d. -3; 1
4. solve. x^2 - 81 = 0
a. 0
b. -9
c. -9, 9***
d. 9
5. which model is most appropriate for the data shown in the graph below? (need wedsite to know the problem)
a. quadratic
b. linear
c. exponential***
d. line
for questions 6-9, match the equation to its corresponding graph.
(need wedsite to know the problem)
a, b, c, d
6. a y=-2x^2+2
7. d y=-x^2
8. c y=2x^2
9. b y=3x^2-4
Graph the quadratic functions y = -2x^2 and y = -2x^2 + 4 on a separate piece of paper. Using those graphs, compare and contrast the shape and position of the graphs.
y=-2x^2+4 is just 4 units up from y=-2x^2
Here are the correct answers;
1. C (-1/2, -5/2), (2,5)
2. A 0
3. B -1;19
4. C -9,9
5. C Exponential
MATCHING
6. A
7. D
8. C
9. B
10. ESSAY
Ro is right I got 9/9 with upgraded 3 possible points. Thank you
Essay answer please i wanna know if im right
You're welcome!
100% All Correct Just Did it and got a 100%
Anyone got the essay question tho
y=-2x^2+4 is just 4 units up from y=-2x^2 ?
yes
Gameknight is right i got a 9/9 and 3 possible points.
is the last one correct
Ro is 100%. thanks Ro your a life saver love you
Thanks so much Ro and GameKnight! True lifesavers
gamenight is right :) all right
thanks SOOOO much everyone here!! :3
Gameknight is correct. all the answers are 100% accurate. Thank you!
#1 - 4, correct
#5, can't tell , can't see any graph
Ro is wrong 9 is not b it’s d y=3x^2-4
My teacher is pretty strict with grading so I don’t know if this is 100% right but I’m taking the quiz now, for question number 10 I put the parabolas have the same shapes opening downwards with vertex’s of (0, 0) for number one and (0, 4 )for number two, the second equation is shifting up by four units with a maximum vertex
at (0, 4) compared to the first equation.
This answer is correct. The two parabolas have the same shape and axis of symmetry, but the second parabola has been vertically translated upwards by 4 units, resulting in a vertex at (0, 4) instead of (0, 0). The second parabola also has a maximum point since it opens downwards, and this maximum point occurs at the vertex.