For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y
-intercept. Decide which table best illustrates these values for the equation: y = 3 x squared + 2 x minus 8
Table A
a
b
c
up or down
y-intercept
3
2
-8
up
(0,-8)
Table B
a
b
c
up or down
y-intercept
3
2
8
up
(0,-8)
Table C
a
b
c
up or down
y-intercept
3
2
8
up
(0,8)
Table D
a
b
c
up or down
y-intercept
3
2
-8
down
(0,-8)
the sign on the leading coefficient is positive, so the parabola opens upwards. The y-intercept exists where the x's are equal to 0, so the y-intercept is (0, -8). Match that to the table that has those characteristics in it.
Answer:Such sequences can be expressed in terms of the nth term of the sequence. In this case, the nth term = 2n. To find the 1st term, put n = 1 into the formula, to find the 4th term, replace the n's by 4's: 4th term = 2 × 4 = 8