Step-by-step explanation:
f(x)=3x−2 so when the variable x is replace with an actual value ( − 1 ) we get f(−1)=3(−1)−2
=−3−2
=−5
Answer:
D. g(x) = (x+ 4)² + 6
Step-by-step explanation:
Here, the given function is f(x) = x²
Now,if a graph x² is translated by (h,k) where:
h = Translation done towards RIGHT
k = Translation done towards UP
Then the translated equation is given as:
y = (x-h)² + k .... (1)
Now here, the graph is translated 6 UNITS UP and 4 UNITS LEFT.
⇒ h = - 4 and k = 6
Substituting the value of h, k in (1) , we get:
g(x) = (x-(-4))² + 6 = (x+ 4)² + 6
⇒ g(x) = (x+ 4)² + 6
Hence, the equation of the translated function, g(x) is g(x) = (x+ 4)² + 6.
Answer:
-2b^2+3b
Step-by-step explanation:
You just have to add like terms, which is the single numbers, the numbers with just the variables, and the numbers with variables that are squared.
Answer:
0.58
Step-by-step explanation:
You did everything right. You just had to find the square root of 0.34 which is 0.58.
:)
Answer:
The roots are
![x=\frac{1}{6} [3+ i\sqrt{3}]](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B6%7D%20%5B3%2B%20i%5Csqrt%7B3%7D%5D)
![x=\frac{1}{6} [3- i\sqrt{3}]](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B6%7D%20%5B3-%20i%5Csqrt%7B3%7D%5D)
Step-by-step explanation:
we have
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
substitute in the formula
Remember that
so
![x=\frac{1}{6} [3\pm i\sqrt{3}]](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B6%7D%20%5B3%5Cpm%20i%5Csqrt%7B3%7D%5D)
The roots are
