y = 3(x + 4)^2 + 31
Step-by-step explanation:
We can convert the given quadratic equation into its vertex form by completing the square:
y = 3x^2 + 24x + 43
= 3(x^2 + 8x) + 43
= 3(x^2 + 8x + 4) + 31
= 3(x + 4)^2 + 31
This is the vertex form of the given quadratic equation with (-4, 31) as its vertex
Yes, 0.069 is less than 0.07~
First, we compare the "one" place: 0 = 0.
Second, we compare the "tenth" place: 0 = 0.
Next, we compare the "hundredth" place: 6 < 7.
Because 6 < 7, 0.069 < 0.07 as a result~
you have a 58%(rounded) chance against picking a prime number at random
Answer:
(2,4).
Step-by-step explanation:
Graph of y = f(-x).
The values of x in f(-x) assume the values of -x in f(x).
For example, f(-2) in f(x) is f(2) in f(-x), and f(2) in f(x) is f(-2) in f(-x).
b) Write down the coordinates of the maximum point of the graph of y = f(-x).
In f(x), we have that x = -2. So in f(-x), it will be x = 2. y remains unchanged. So
(2,4).
