The point (5, -2) is rotated 90° about the origin. Its image is

Mathematics

1 answer:

Nadya [2.5K]2 years ago

8 0

Answer:

(2,5)

Step-by-step explanation:

The rule to 90 degrees about the origin is (x,y) to (-y,x). You basically switch the values of y and x but remember the value of y is negative. The value of y is -2 so -2 is now 2 since the rule changed the sign (-2×-y=2) and 5 isnt affected except it is the x value. Just know that since they r switched, x is now 2 and y is 5 when rotated 90 degrees about the origin.

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F(x) = - 3x + 4; g(x) = f(x) + 1 <br> Graph it and then describe the graph

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The graph of function f(x) and g(x) is parallel lines separated by 1 unit.

In this question we have been given two functions f(x) = - 3x + 4 and g(x) = f(x) + 1

We need to graph these functions and then describe the graph.

The graph of given functions is as shown below.

The graph of function f(x) is a straight line with slope -3 and y-intercept 4.

The function g(x) is nothing but but function f(x) translated upward by 1 unit.

The graph of function g(x) is also a straight line with slope -3 and y-intercept 5.

Therefore, the graph of function f(x) and g(x) is parallel lines separated by 1 unit.

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