3.) which statements are true about the graph of the function f(x) = 6x – 4 + x2? check all that apply.

the vertex form of the function is f(x) = (x – 2)2 + 2.
the vertex of the function is (–3, –13).
the axis of symmetry for the function is x = 3.
the graph increases over the interval (–3, infinity symbol).
the function does not cross the x-axis.

Find the vertex of the parabola given by the formula :

1. As you can see this vertex form differ from the vertex form in option A, then A is incorrect.

2. When x=-3, f(-3)=-13 and the vertex has coordinates (-3,-13) - option B is true.

3. From the attached graph you can see that the axe of symmetry is line x=-3 that passes through the vertex. This means that choice C is incorrect.

4. From the attached graph you can see that the function is increasing for x>-3 and decreasing for x<-3. Option D is correct.

5. The graph intersects x-axis at two points (see attached diagram). Option E is incorrect.

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

step-by-step explanation: