Answer:
g(x) = x² + 5x + 2
Step-by-step explanation:
If a function is f(x) = x²
And this function is shifted 4 units left then the rule to be followed is,
g(x) = f(x + 4)
Following the same rule,
For a function f(x) = x² - 3x - 2 when shifted 4 units to the left,
g(x) = f(x + 4)
g(x) = (x + 4)² - 3(x + 4) - 2
= x² + 8x + 16 - 3x - 12 - 2
= x² + 5x + 2
Therefore, g(x) = x² + 5x + 2 will be the transformed function.
Answer:
y= 4/5x
Step-by-step explanation:
A proportional relationship has an equation of the form y = mx. It passes through the origin.
y= 4/5x is the only equation which is in this form.
The volume of sphere is
feet cubed.
Step-by-step explanation:
Given,
Surface area of sphere = 196π square feet
Surface area of sphere = 4πr²
We will find radius of sphere.

Dividing both sides by 4π

Taking square root on both sides

The radius is 7 feet.
Volume of sphere = 

The volume of sphere is
feet cubed.
Keywords: volume, surface area
Learn more about surface area at:
#LearnwithBrainly
The GCF of those numbers is 2
Answer:
96
Step-by-step explanation: