Final answer:
To find the x-intercept and vertex of a parabola, a Parabola Solver Calculator is most suitable. It solves for the roots and the vertex efficiently. The Quadratic Formula Calculator is also helpful for finding the x-intercepts.
Step-by-step explanation:
Finding the x-intercept and the vertex of a parabola can be done using various calculators that handle quadratic equations. However, the most suitable calculator for these specific tasks would be a Parabola Solver Calculator. This type of calculator is designed to find the roots (x-intercepts) by solving the quadratic equation ax²+bx+c = 0, and it can also calculate the vertex, which is the highest or lowest point on the parabola depending on the orientation, using the formula -b/(2a) for the x-coordinate, and plugging that back into the equation to find the corresponding y-coordinate.
The Quadratic Formula Calculator can also find the x-intercepts by providing the solutions to the equation using the famous quadratic formula, which is x = \frac{-b ± √{(b^2-4ac)}}{2a}. The Factoring Calculator and Discriminant Calculator can aid in solving quadratic equations as well, but they don't directly provide the vertex.