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zalisa [80]
3 years ago
10

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)

a.
Table A
c.
Table C
b.
Table B
d.
Table D

Mathematics
1 answer:
Zolol [24]3 years ago
5 0

Answer:

Step-by-step explanation:

In the quadratic

3x^2+2x-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.

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zlopas [31]
1. The function h(t)=-16t^{2}+48t is a parabola of the form ax^{2}+bx. The the formula for the axis of symmetry of a parabola is x= \frac{-b}{2a}. We can infer from our function that a=-16 and b=48, so lets replace those values in our formula:
x= \frac{-b}{2a}
x= \frac{-48}{-2(16)}
x= \frac{-48}{-32}
x= \frac{3}{2}
x=1.5
We can conclude that to the left of the line of symmetry the ball is reaching its maximum height, and to the right of the line of symmetry the ball is falling.

2. Lets check how much time the ball takes to reach its maximum height and return to the ground. To do that we are going to set the height equal to zero:
0=-16t^{2}+48t
-16t(t-3)=0
t=0 or t-3=0
t=0 or t=3
From our previous point we know that the ball reaches its maximum time at t=1.5, which means that <span>it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.</span>

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11.p=-8, 17-8=9
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