Write the formula for the parabola that has x − intercepts (13, 0) and (4, 0) and y − intercept (0, 13).

The equation of the parabola is .

Step-by-step explanation:

A parabola is a curve where any point is at an equal distance from a fixed point (the focus), and  a fixed straight line (the directrix).

To find the formula we assume that the equation of the parabola is

Since the parabola passes through the point (13, 0), then .

Since the parabola passes through the point (4, 0), then .

Since the parabola passes through the point (0,13), then .

Thus, we have obtained the following system:

Next, we need to solve this system of equations.

The equation of the parabola is .

step-by-step explanation:

if you meant, "on the way from (3, 2) to (3, 14):

x does not change; y increases by 12.

ensure that you have copied down this problem correctly.   .