Question
The equation of a curve is given as y+4=(x-1)².State x and y intercept of the curve
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GPT 3.5
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.
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.
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