Answer :
For the given quadratic functions :
- Vertices: (4, -13).
- Solution: 7.6 and 0.4.
Explain the term quadratic functions?
- The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included.
- It also goes by the name quadratic equations. The quadratic equation has the general form ax² + bx + c = 0.
For the state question;
- The formula for a quadratic function is y = x² - 8x + 3
- The specified quadratic function's vertex and zeros must be located.
Below is a graph of the provided function.
It can be seen from the graph depicted above that a vertex of a quadratic function equals (4, -13).
Vertices: (4, -13).
We shall now determine the quadratic function's solution as follows:
Equivalently, the solution is y = 0.
Thus, x² - 8x + 3 = 0
Finding the factors of the quadratic equation by quadratic formula.
x = 7.6 and x = 0.4
Thus, the solution for the given quadratic equation are-
Solution: 7.6 and 0.4.
To know more about the quadratic functions, here
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The complete question is-
use a graphing calculator to approximate the zeros and vertex of the following quadratic functions. round to one decimal place, if necessary. fill in solutions least to greatest (left to right).
y = x² - 8x + 13
Vertices, -(_, _)
Solution: (_, _) and (_,_)