Question

Find a parabola calculator with slopes is used to determine the parabola's equation when given:

A) Vertex and focus
B) Slope and y-intercept
C) Tangent line and slope
D) Slopes at two points

Answer 1

A parabola calculator is used to determine the equation of a parabola given specific information such as the vertex and focus, slope and y-intercept, tangent line and slope, or slopes at two points.

Step-by-step explanation:

A parabola calculator is used to determine the equation of a parabola given certain information. Here are the different scenarios:

1. When given the vertex and focus of the parabola, you can use the formulas to find the equation.
2. When given the slope and y-intercept of the parabola, you can directly plug them into the equation.
3. When given the tangent line and its slope, you can use the equation of a line and the derivative of a parabola to find the equation.
4. When given the slopes at two points on the parabola, you can use the difference quotient to find the equation.