Answer these questions i'm really desperate. im going to fail if i dont get this right

Answer-

Solution-

First of all we have to get the value of f, as two point (0, -1) and (1, 2), we can get the equation by applying two point formula of straight line.

Translating any point with coordinate as (x,y) 1 unit down, becomes (x, y-1)

So the new function will be,

Reflecting any point with coordinate as (x,y) over x axis, becomes (x, -y)

So the new function will be,

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this