Answer:
Step-by-step explanation:
Parent function of the square root function has been given as,
f(x) = 
If the graph of the given function is stretched vertically by the scale factor = g(x) = 
If the graph is shifted 3 units to the left,
h(x) = 
Since, the graph of the function passes through a point (-2, 2),
2 = k
Therefore, the function is .
F(x)=x²
g(x)=x+6
f(0)=0²=0
g(f(0))=g(0)=0+6
=6
With finding the data that falls below a percentage, you need to look closely at the words.
Notice that it said 25% of... that word "of" means to multiply. But, what are you multiplying? Well, if you look more closely at the plot, you'll see that your dot and line is lying on 58. But make sure you put 25 over 100.
So, your equation would be set up like this: 58 ÷ x = 100/25
We're using "x" as our way of saying, "We need to find out this number."
After that, we'll need to multiply both sides of the equation by "x"
(58 ÷ x) × x = (100/25) × x
Now that you have your equation, you'll need to divide both sides by 4 to get "x".
x = 4 ÷ 58
58 ÷ 4 = 14.5
Your answer is 14.5 of the data that falls below the number.
The answer is C. g(x) = (4x)^2
We can see the transformation applied to the function is a compression which means:
g(x) = f(c•x) , c > 1
We can find c using the point in the graphic of g(x), (1, 16)
so we can replace x=1 and g(x) = 16
g(x) = f(c•x)
g(x) = (c•x)^2
16 = (c•1)^2
16 = c^2
√16 = c
4 = c
Then we can replace c in the formula
g(x) = (4x)^2
