Question

What are the features of the quadratic function ƒ(x) = (x – 3)(x + 7)?

Answer 1

See below

Explanation:

I guess if you look at the zeroes/x-intercepts, we got (3,0) and (-7,0) as zeroes.

Additionally, we can calculate the minimum by expanding the function:

`(x-3)(x+7)=x^2+4x-21`

`\displaystyle x=-(b)/(2a)=-(4)/(2(1))=-2\\\\f(-2)=(-2)^2+4(2)-21=4+8-21=12-21=-9`

So the minimum of the function is (-2,-9)

Also, our y-intercept is (0,-21)