Question

If f(x) = 3x and g(x) = 3x + 1 + 6. Describe the transformations from f(x) to g(x).

A)left 1 and up 6
B)left 6 and up 1
C)right 6 and up 1
D)right 1 and down 6

Answer 1

The parent function for quadratic equations is as followed:

$y=a(bx-h)+k$

where a and b represent vertical and horizontal stretches, respectively, h is the horizontal shift, and k is the vertical shift.

So going from $(3x)^2$ to $(3x+1)^2+6$,

We are shifting 1 to the left and 6 up.

The horizontal shift is in the negative direction because in the equation, h=-1 because:

$(x-(-1))^2=(x+1)^2$

The answer is A.