Question

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 narrower than the graph of f(x) = x2.

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

Answer 1

Answer: B,D,E

Explanation:

Answer 2

2, 4, 5

Explanation:

Assuming you meant 6(x+1)^2-9

1.) no, the vertex is (-1,-9)

2.) this is true. this is because the 6 is positive. if it was negative, it would be concave down

3.) no, you shift it down 9 units

4.) yeah, multiplying it by 6 makes it narrower

5.) yes --> 6(x+1)^2-9= 6(x^2+2x+1)-9= 6x^2+12x+6-9= 6x^2+12x-3