Answer:
y = (x + 1)²
Step-by-step explanation:
y = 1 + x² + 2x
⇒ x² + 2x + 1 = y
⇒ (x + 1)(x + 1) = y
⇒ (x + 1)² = y
y-intercept when x = 0:
(0 + 1)² = 1² = 1
Therefore, intercepts the y-axis at (0, 1)
x-intercept when y = 0
(x + 1)² = 0
x + 1 = 0
x = -1
Therefore, intercepts (touches) x-axis at (-1, 0)
