Suppose a parabola has a vertex of (-4 7) and also passes through the point (-3,8). what is the equation of the parabola in vertex form

Step-by-step explanation:

We are given that vertex of parabola is (-4,7).

We have to find the equation of parabola in vertex form which passing through the point (-3,8).

We know that general equation of parabola in vertex form

Where vertex is (h,k).

Substitute the values

Parabola passing through the point (-3,8) then we get

Substitute the value then we get

Equation of parabola in vertex form

all it means is function 3

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