Answer:
When you substitute 0 for the exponent x, the expression simplifies to a times 1, which is just a. This is because any number to the 0 power equals 1. Since the initial value is the value of the function for an input of 0, the initial value for any function of this form will always be the value of a
Step-by-step explanation:
Hopefully this helped, if not HMU and I will try to get you a better answer! :)
Answer:
The vertex of the function is 
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:

It's vertex is the point 
In which


Where

If a<0, the vertex is a maximum point, that is, the maximum value happens at
, and it's value is
.
f(x) = x² - X + 2.
Quadratic equation with 
So



The vertex of the function is 
Answer:
y= -3x -2
Step-by-step explanation:
Answer:
9 gallon of gas
Step-by-step explanation:
When distance covered is 378 miles, they have used 14 gallons of gas
We need to find how much gas will they need to finish the trip if 243 miles left to drive on the trip.
378 miles = 14 gallons of gas
For 1 mile,
1 gallon of gas is used for 
For 243 miles,

Hence, for 243 miles 9 gallon of gas is used.