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 = -2x² + 4
Table A
15
a
b
C
up or down
-2
y-intercept
(0,-2)
0
4
down
Table B
a
b
с
up or down
4
0
-2
y-intercept
(0,4)
down
Table C
а
b
C С
up or down
-4
0
-2
y-intercept
(0,-2)
down
Table D
a
С
up or down
V-intercept
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the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

the answer is c

hope this !