How to develop a equation of a parabola given 3 pointsy- intercept : (0, -1.4)x-intercept : (0.905,0)3rd point: (3.07,0.314)

Solution:

Using the equation:

Given the table of values of x and y as shown below:

From the table, when x equals zero, we have y to be -1.4.

Substitute these values of x and y into the above equation.

Thus, we have

Substitute the obtained value of c into the equation.

This gives

Also, when x equals 0.905, we have y to be zero.

thus, we similarly substitute the values of x and y into the equation.

When x equals 2, y equals 0.6. substitiute the values of x and y into the equation.

From equation 3, make b the subject of the equation or formula.

Thus,

substitute equation 4 intp equation 2.

Thus,

To solve for b, substitute the obtained value of a into equation 4.

From equation 4,

From the obtained values of a, b, and c, equation 1 becomes

Hence, the equation of the parabola is