Answer:
<h3>
f(x) = 4(x - 4)² - 4 </h3>
Step-by-step explanation:
f(x) = a(x - h)² + k - vertex form of the equation of the parabola with vertex (h, k)
so the equation of parabola with the vertex (4, -4) is
f(x) = a(x - 4)² - 4
passes through the point (2, 12) means if x=2 then f(x)=12
12 = a(2 - 4)² - 4
12 +4 = a(-2)² - 4 +4
16 = 4a
a = 4
Therefore the equation (in vertex form) of parabla is:
<u> f(x) = 4(x - 4)² - 4 </u>
Answer:
The answer is the first one: s <= -18
It is equivalent to -2−15 because adding 21+(-23) is the same as subtracting 21−23.
The value of the expression is -17 because 21+(-23)−15 is the same as 21+(-38).
These 2 statements are true.
Set the equtions equal to eachother and solve to get x= -.5
4x-6=10x-3
simplify the x values and get
-6=6x-3
then simplify the whole numbers
-3=6x
divide by 6
-.5=x
Answer:
b 15 - 4i sqrt(2)
Step-by-step explanation:
15 - sqrt (-32)
15 - sqrt(-1) sqrt(32)
15 - ±i sqrt(16) sqrt(2)
15 - ±4i sqrt(2)
Taking the principal square root
15 - 4i sqrt( 2)