The function p(x) = 6x2 + 48x written in vertex form is p(x) = 6(x + 4)2 – 96. which statements are true about the graph of p? check all that apply.
a) the axis of symmetry is the line x = –4.
b) the graph is narrower than the graph of f(x) = x2.
c) the parabola has a maximum.
d) the parabola opens down.
e) the value of k is –96, so there is a vertical shift down 96 units.

The correct options are A, B and E.

Step-by-step explanation:

The given function is

Vertex form of the function is

                      ..... (1)

The vertex form of a parabola is

                          ..... (2)

where, (h,k) is vertex and x=h is the axis of symmetry.

If a>0, then parabola opens up and if a<0, then parabola opens down.

If |a|>1, then graph is narrower than the graph of and if |a|<1, then graph is wider than the graph .

From (1) and (2), it is clear that

So we conclude that

1. The axis of symmetry is the line x = –4.

2. The graph is narrower than the graph of .

3. The parabola has a minimum.

4. The parabola opens up.

5. The value of k is –96, so there is a vertical shift down 96 units.

Therefore options A, B and E are correct.

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.

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step-by-step explanation: