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25 points! how to find points of a parabola given the quadratic equation using substitution ​

User Mkrause
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1 Answer

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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.

User Carlos Cordoba
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