Question

What is the quadratic equation that passes through the intercepts (1,0) and (-7,0)?

Answer 1

Answer:

See  below.

Step-by-step explanation:

These are the x intercepts so the value of the function at these 2 points is 0.

The equation is a(x -1)(x + 7) = 0. If we solve this for x we get x = 1 and x = -7.

The constant a can be any value except 0. There are many equations because of this.  If a = 1 the equation is (x - 1)(x + 7) = 0.