The equation in the vertex form of g(x) is:
<h3>How to get the equation of function g?</h3>
We know that g(x) is a translation of 2 units below and 3 units to the left of f(x).
So first, let's rewrite f(x) to its vertex form:
The vertex is at:
The y-value of the vertex is:
Then the vertex form of f(x) is:
If we move this vertex 2 units below, and 3 units to the left, then we have:
That is the equation for g(x) in vertex form.
If you want to learn more about quadratic equations:
#SPJ1
Answer:
Rebecca and Dan need to ride on the third day in order to achieve goal of biking.
Step-by-step explanation:
Given:
Goal of Total number of hours of biking in park =20 hours.
Number of hours rode on first day =
So we will convert mixed fraction into Improper fraction.
Now we can say that;
To Convert mixed fraction into Improper fraction multiply the whole number part by the fraction's denominator and then add that to the numerator,then write the result on top of the denominator.
can be Rewritten as
Number of hours rode on first day =
Also Given:
Number of hours rode on second day =
can be Rewritten as
Number of hours rode on second day =
We need to find Number of hours she need to ride on third day in order to achieve the goal.
Solution:
Now we can say that;
Number of hours she need to ride on third day can be calculated by subtracting Number of hours rode on first day and Number of hours rode on second day from the Goal of Total number of hours of biking in park.
framing in equation form we get;
Number of hours she need to ride on third day =
Now we will use LCM to make the denominators common we get;
Number of hours she need to ride on third day =
Now denominators are common so we will solve the numerator we get;
Number of hours she need to ride on third day =
Hence Rebecca and Dan need to ride on the third day in order to achieve goal of biking.
