Question

SOMEONE PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Which of the following statements are true about the graph of f(x) = 6(x + 1)2 -9?
Check all of the boxes that apply.
The vertex is (1, -9).
The graph opens upward.
The graph is obtained by shifting the graph of f(x) = 6(x + 1)2 up 9 units.
The graph is steeper than the graph of f(x) = x2.
The graph is the same as the graph of f(x) = 6x2 + 12x - 3.

Answer 1

The vertex is not 1,9 it is -1,9; False

The graph opens upwards; True

The graph is obtained by shifting the graph of f(x) = 6(x + 1)2 up 9 units.; False

The graph is steeper than the graph of f(x) = x2.; True

The graph is the same as the graph of f(x) = 6x2 + 12x - 3. ; True

Answer 2

The graph open upward yes because 6>0 positive number
The graph is the same as the graph of f(x)=6x^2+12x-3 yes because you can just expand the binomial 6(x+1)^2 you get 6x^2+12x+6 with -9 outside
it becomes 6x^2+12x-3
The vertex is (1,-9) no the vertex is (-1,-9)
the graph is shifted up 9 unites no it is shifted down 9 units
the graph is steep yes the large a is the steep the parabola if 0<a<1 then the parabola is less steep