6.
Which of the following is the graph of the equation y = −2x2 − 3x + 4?

From the looks of the graph, it looks like the answer will be Letter C. (The last graph).

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  ( − 3 /4 ,  41 /8 )

Focus:  ( − 3 /4 ,  5 )

Axis of Symmetry:  x = − 3 /4

Directrix:  y = 21 /4

x                  y

− 3               − 5

− 2                2

− 3                4

41                8

0                 4

1                 − 1

step-by-step explanation:

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752