Final answer:
To find points on a parabola, substitute values into the equation for x and solve for y. The quadratic formula is used to find the x-intercepts of the parabola. Consult a parabola chart or find the vertex for other characteristics.
Step-by-step explanation:
To find "other" points on a parabola when given its equation in either General or Vertex Form, you would substitute values into the equation for x and solve for y. This method allows you to compute as many points on the parabola as needed.
For instance, if you have a parabolic equation of the form y = ax + bx², you can choose a value for x, substitute it into the equation, and calculate the corresponding y-value. This is helpful when plotting the parabola or understanding its shape.
The option of using the quadratic formula is relevant when you want to find the x-intercepts (or roots) of the quadratic equation, which has the standard form at² + bt + c = 0. The quadratic formula will tell you the values of t (often x in the context of a parabola) for which y (or the function value) is zero.
Consulting a parabola chart or solving for the vertex coordinates can provide specific characteristics of the parabola, such as its vertex or the direction it opens but does not directly help in finding other arbitrary points on the curve.