Answer:
➩
Step-by-step explanation:
➨ We can also solve by completing both squares, however. Since we can pull out the square root.
➩ Define of Absolute Value/Square Root
➩
Thus, our new equation is ➩
To solve an absolute-value equation, let there be two conditions.
➨ Where x ≥ 0
Move x to another side
➨ Where x < 0
Given:
The graph of a quadratic function passes through the points (5,31) (3,11) (0,11).
To find:
The equation of the quadratic function.
Solution:
A quadratic function is defined as:
...(i)
It is passes through the point (0,11). So, substitute in (i).
Putting in (i), we get
...(ii)
The quadratic function passes through the point (5,31). So, substitute in (ii).
Divide both sides by 5.
...(iii)
The quadratic function passes through the point (3,11). So, substitute in (ii).
Divide both sides by 3.
...(iv)
Subtracting (iv) from (iii), we get
Putting in (iv), we get
Putting in (ii), we get
Therefore, the required quadratic equation is .