The equation of a curve is given as y+4=(x-1)².State x and y intercept of the curve
To find the x-intercept, we set y = 0 in the equation y + 4 = (x - 1)²:
0 + 4 = (x - 1)²
4 = (x - 1)²
Taking the square root of both sides, we get:
2 = x - 1
Solving for x, we find that x = 3. Therefore, the x-intercept of the curve is 3.
To find the y-intercept, we set x = 0 in the equation y + 4 = (x - 1)²:
y + 4 = (0 - 1)²
y + 4 = 1
Solving for y, we get:
y = 1 - 4
y = -3
Therefore, the y-intercept of the curve is -3.
To find the x-intercept, set y = 0 and solve for x.
y + 4 = (x - 1)²
0 + 4 = (x - 1)²
Taking the square root of both sides:
√4 = x - 1
±2 = x - 1
x = 1 + 2 = 3 (x-intercept)
To find the y-intercept, set x = 0 and solve for y.
y + 4 = (0 - 1)²
y + 4 = 1
y = 1 - 4 = -3 (y-intercept)
Therefore, the x-intercept is at (3, 0) and the y-intercept is at (0, -3).