What happens to the x and y coordinates in a 90-degree counterclockwise rotation?

 hope this helps    i didnt see any  A, B, C, D etc  options to choose from

each point of the given figure has to be changed from (x, y) to (-y, x)

Step-by-step explanation:

When we rotate a figure of 90 degrees counterclockwise, each point of the given figure has to be changed from (x, y) to (-y, x) and graph the rotated figure.

Example 1 :  

Let F (-4, -2), G (-2, -2) and H (-3, 1) be the three vertices of a triangle. If this triangle is rotated 90° counterclockwise, find the vertices of the rotated figure and graph.

Solution :  

Step 1 :

Here, triangle is rotated 90° counterclockwise. So the rule that we have to apply here is

(x, y) -------> (-y, x)

Step 2 :

Based on the rule given in step 1, we have to find the vertices of the rotated figure.

Step 3 :

(x , y) -----> (-y , x)

F(-4 , -2) -------> F'(2, -4)

G(-2, -2) -------> G'(2, -2)

H (-3, 1) -------> H'(-1, -3)

Step 4 :

Vertices of the rotated figure are        

F'(2, -4), G'(2, -2) and H'(-1, -3)  

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1