Question

Which statement is true about f(x)=-2/3 x+4 -6

The graph of f(x) has a vertex of (–4, 6).
The graph of f(x) is horizontally stretched.
The graph of f(x) opens upward.
The graph of f(x) has a domain of x -6

Answer 1

I think it is the one that say the graph of f (×) is horizontally stretched, or the one that say the graph of f (×) has a domain of ×-6

Answer 2

The correct answer is The graph of f(x) is horizontally stretched.

Explanation:

We can tell it is horizontally stretched by the fact that there is a coefficient of less than 1 in the front.

We know that (-4, 6) isn't a vertex, because it is in vertex form. The vertex is the opposite of the number being added to x and the y value is the constant. Since the constant is -6, it is not a vertex.

The negative coefficient in the front makes it open down, so it doesn't open up.

The domain should be all real numbers as there is no number that cannot be put into the equation.