Jose's gas tank is 3/8 full. After he buys 6 gallons of gas, it is 3/4 full. How many gallons can Jose's tank hold?
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Answer:
Step-by-step explanation:
We are given the following;
- Vertex of a quadratic function = (5,3)
- A point where the function passes through (-1, -9)
Required to determine the equation of the function;
- We need to know the vertex form of a quadratic function is;
, where h and k correspond to the vertex (h,k)
- Therefore, we can replace the variables h and k of the vertex in the equation;
That is;
Then we use the equation and the point given to solve for a
x = -1 and y = -9
We get;
Substituting the values of a, h and k in the equation, we get;
Thus, the equation of the function in the vertex form is