Explanation:
To find the points of a parabola given the quadratic equation using substitution, follow these steps:
1. Write the quadratic equation in standard form: y = ax^2 + bx + c
2. Substitute the x-coordinate of the point you want to find into the equation.
3. Solve for the y-coordinate using algebraic operations.
4. Write the point as (x, y).
For example, let's say we have the quadratic equation y = 2x^2 - 4x + 3 and we want to find the point when x = 1.
1. The equation in standard form is y = 2x^2 - 4x + 3
2. We substitute x = 1: y = 2(1)^2 - 4(1) + 3
3. We solve for y: y = 2 - 4 + 3 = 1
4. The point is (1, 1)
Repeat the process for other x-values to find more points on the parabola.