PLEASE HELP I WILL GIVE POINTS AND BRAINLIEST AWAY

g(x) = - 3

Step-by-step explanation:

Looking at the red dotted line, we see that it looks the exact same as the blue graph except that it is a few units lower.

Since the graph of g is moved vertically (down 3 units) from f, we know that this is a vertical transformation. So, we write the change to the entire function: g(x) = f(x) - 3

Now, what is f(x)? The graph of the generic quadratic is f(x). This is a graph that I highly recommend you memorize as it will definitely come in handy later on.

So, g(x) = f(x) - 3 = - 3.

We can check by plugging in the point (2, 1) that is on the graph of g and see if it works:

1 =? 2^2 - 3

1 =? 4 - 3

1 = 1

This works, so we know we're right.

Hope this helps!

g(x) = x^2 - 3.

Step-by-step explanation:

f(x)  = x^2  because it goes through the origin and we can check the points (-1,1) and (1, 1) and (-2 4) and (2,4) which the curve passes through. They all satisfy f(x) = x^2. This graph is worth committing to memory. Note that it is symmetrical about the y-axis.

g(x) is the function f translated down 3 units so:

g(x) = x^2 - 3.

idk lol xd

step-by-step explanation:

ez do it yourself lazy

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: