Answer:
Step-by-step explanation:
The equation of a quadratic function in vertex form is given by:
Where (h,k) is the vertex.
It was given in the question that the vertex of the parabola is (-1,4).
When we substitute the vertex into the formula we get:
The parabola also passes through (4,19) hence it must satisfy its equation.
We divide both sides by 25 to get:
Hence the quadratic function is:
The equation for the line of best fit, the good approximation for x when f(x) = 30 is 20.
Given that
The equation for the line of best fit is f(x) = 1.8x − 5.4 for the set of values in the table.
A 2-column table with 7 rows.
The first column is labeled x with entries 4, 5, 6, 6, 8, 9, 10.
The second column is labeled f(x) with entries 5, 2, 5, 6, 8, 7, 18.
We have to determine
Using the equation for the line of best fit, what is a good approximation for x when f(x) = 30?
According to the question
The quadratic regression equation can be expressed as;
Then,
The approximation for x when f(x) = 30 is,
Hence, the equation for the line of best fit, the good approximation for x when f(x) = 30 is 20.
To know more about the Quadratic equation click the link given below.