Graph the function f(x) = (x + 1)(x – 5). use the drop-down menus to complete the steps needed to graph the function. identify the x-intercepts: (–1, 0) and (5, 0) find the midpoint between the intercepts: (2, 0) find the vertex: find the y-intercept:

Step-by-step explanation:

Here the function is,

The x intercept is the point where the graph intersects the x axis or the point where y or f(x) is 0.

So,

Hence the x-intercepts are

Their mid point will be,

The general vertex form of quadratic function or parabola is,

where (h, k) is the vertex.

Here,

Comparing this to the general form, the vertex is

The y intercept is the point where the graph intersects the y axis or the point where x is 0.

Putting x=0 in , we get

Therefore, the y intercept is

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: