the equation of a curve is given as y+4=(x-1)^2. State the x and y intercepts of the curve

Answer 1

To find the x-intercept of the curve, we set y = 0 in the equation and solve for x.

0 + 4 = (x - 1)^2
4 = (x - 1)^2

Taking the square root of both sides, we get:

±√4 = ±(x - 1)
±2 = ±(x - 1)

Simplifying, we have two possible values for x:

x - 1 = 2 => x = 3
x - 1 = -2 => x = -1

So, the x-intercepts of the curve are x = 3 and x = -1.

To find the y-intercept of the curve, we set x = 0 in the equation and solve for y.

y + 4 = (0 - 1)^2
y + 4 = 1

So, the y-intercept of the curve is y = -3.

The x-intercepts are x = 3 and x = -1, and the y-intercept is y = -3.