Question

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 = negative 2 x squared + 4
Table A
a

b

c

up or down

y-intercept
-2

0

4

down

(0,-2)

Table B
a

b

c

up or down

y-intercept
4

0

-2

down

(0,4)

Table C
a

b

c

up or down

y-intercept
-4

0

-2

down

(0,-2)

Table D
a

b

c

up or down

y-intercept
-2

0

4

down

(0,4)

a.

Table A

c.

Table C
b.

Table B

d.

Table D

Answer 1

The table that correctly describes the given quadratic equation is table D.

Which table correctly describes the quadratic equation?

A general quadratic equation is written as:

$y = a*x^2 + b*x + c$

The y-intercept is the point (0, c), and the sign of the coefficient a determines if it opens up or down.

• If a > 0, then it opens up.
• If a < 0, then it opens down.

In this case, the quadratic equation is:

$y = -2x^2 + 4$

Then we have:

• a = -2
• b = 0
• c = 4.

The y-intercept is (0, 4), and because a is negative, the parabola opens down.

Then the correct table is table D.

If you want to learn more about quadratic equations:

https://brainly.com/question/1214333

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