What is the equation of the circle that is centred at the origin and passes through the point (-3,4)

The correct answer is (x)² + (y)² = r².

Step-by-step explanation:

The standard equation for a circle is (x - h)² + (y - k)² = r². Since our circle is centered at the origin, or (0, 0), our values for h and k are simply 0 and 0, so there is no need to list these values within the equation.

Now, it is time to determine r, or the radius of the circle. The circle passes through the point (-3, 4), so (-3)² + (4)² = 25², so r = 25.

Therefore, your equation is x² + y² = 25.

range is infinite on both x and y axis positive and negative

step-by-step explanation:

answer:

c) the x-coordinate of the center of the circle increases by 3