Question

Find sercises 12.4. plete the following: the intercepts and domain and perform the symmetry test on each parabola with equation: Graph the vertex, focus, and endpoints of the latus rectum; then draw the parabola for each equation in problem 1. on the same axes the parabolas with equation x = 4py using as values of p: -4,-2,-1,0, the effect on the (a) y² = 87 (c) y² = - 4x (b) x2 = 8y (a) x2 = - 4y

Answer 1

Solutions for 1 & 2 in the same graphs:

a)

The intercept is located at (0, 0).

b)

The intercept is located at (0, 0).

c)

The intercept is located at (0, 0).

d)

The intercept is located at (0, 0).

Solution for point 3:

All the equations are arranged in a respective manner regarding the order given in the problem.

We can see that the closer p is to 0 the parabola is more slime, and the further away the value of p is from 0 the less slim it is. Also, if p changes sign, then the parabola is projected on the opposite axis.