Question

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 numbers solution are there to the equation a=3x^2+x-4
a. 0
b. 1
c. 2
d. 3
3. solve the equation by completing the square
x^2-18x=19
a. 1;19
b. -1;19
c. 3;6
d. -3;1
4. solve x^-81=0
a. 0
b. -9
c. -9,9
d. 9
5. solve y=-2x^2+2
6. solve y=-x^2
7. solve y=2x^2
8. solve y=3x^2-4
9. Graph the quadratic functions y=-2x^2 and y=-2x^2+4 on a separate sheet of paper. Using those graphs, compare and contrast the position and shape of the graphs. explain !!

Answer 1

problem #1. c. (-1/2,-5/2),(2,5) 

#3 x^2 -18x +81 = 19+81      (18/2)^2
     (x-9)^2 = 100
     x-9 = + or - square root of 100
x= 9 + or - 10
x= 19 and -1

Answer 2

1.(-1/2,-5/2),(2,5)
2.0
3.-1,19
4.-9,9
5.exponential
6.a
7.d
8.c
9.b
10.y=-2x^2+4 is just 4 units up from y=-2x^2